Step-by-step explanation:
a) The Roughly shape of the probability model is bell shaped or symmetric
( normal )
(b) Roughly, guess the center (mean) of the probability model
The mean is 5/10 =0.5
Because the symmetric distribution mean is middle bar and here we see using histogram 5/10 is mean .
(c) Argue that 1.5 is a good guess for the standard deviation of the probability model.
Yes 1.5 is very good guess because then it follow normal distribution it is exactly correct .
The solutions to the inequality ys-x+1 are shaded on
the graph. Which point is a solution?
(2, 3)
(3,-2)
(2.1)
(-1,3)
Answer:
the solutions to the inequality ys-x+1 are shaded on the graph. which point is B. (3 ,-2)
At noon a passenger train leaves the Dupont Railway station and travels due east for 2 hours. At 12:45 pm the same day a second passenger train leaves the same railway station and travels due west for 1 hour and 15 minutes at a speed 10 kilometers per hour slower than the first passenger train. At 2pm the two trains were 215 kilometers apart. How fast had each train been traveling
Answer:
The speed of the first train is 70 km/hr
The speed of the second train is 60 km/hr
Step-by-step explanation:
For the first train:
Travel time = 2 hours
The speed = ?
we designate the speed as V
For the second train:
The travel time = 1 hr 15 min = 1.25 hrs (15 minutes = 15/60 hrs)
speed = 10 km/hr slower than that of the first train, we can then say
the speed = V - 10
The total distance traveled by both trains in the opposite direction of one another is 215 km
we can put this problem into an equation involving the distance covered by the trains.
we know that distance = speed x time
the distance traveled by the first train will be
==> 2 hrs x V = 2V
the distance traveled by the second train will be
==> 1.25 hrs x (V - 10) = 1.25(V - 10)
Equating the above distances to the total distance between the trains, we'll have
2V + 1.25(V - 10) = 215
2V + 1.25V - 12.5 = 215
3.25V = 215 + 12.5
3.25V = 227.5
V = 227.5/3.25 = 70 km/hr this is the speed of the first train
Recall that the speed of the second train is 10 km/hr slower, therefore
speed of the second train = 70 - 10 = 60 km/hr
The speed of the trains are 70km/hr and 60km/hr respectively.
The distance of the first train will be represented by: = 2 × D = 2D
The distance of the second train will be represented by: = 1.25 × (D - 10) = 1.25(D - 10).
Based on the information given in the question, the equation to solve the question will be:
2D + 1.25(D - 10) = 215
Collect like terms
2D + 1.25D - 12.5 = 215
3.25D = 215 + 12.5
3.25D = 227.5
D = 227.5/3.25
D = 70km/hour
The speed of the second train will be:
= 70 - 10 = 60km per hour.
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Which relation is a function?
Answer:
D
Step-by-step explanation:
a function is a relation of two sets that associates to every number of the first set only one number of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.
Answer:
D. the quadratic equation
Step-by-step explanation:
This is because in a function, there can not be multiple solutions for one x value. Each of the graphs display points in which the answer to x is multiple values of y, which is not a characteristic of a function.
You can see this by doing a vertical line test. Place and guide your pencil or any straight edge along the beginning of a graph to the end. If the line crosses x at two or more points, the graph is not a function. The quadratic equation is the only one that is a function because as your pencil moves along, you will see that each point has its own x value and nothing overlaps.
Degree Of Length Degree Of Width Degree Of Height Degree Of Volume
Answer: length = 1, width = 1, height = 3, volume = 5
Step-by-step explanation:
Degree is the biggest exponent for the variables in the expression
Length = 4x - 1. The exponent for x is 1 --> degree = 1
Width = x The exponent for x is 1 --> degree = 1
Height = x³ The exponent for x³ is 3 --> degree = 3
Volume = 4x⁵ - x⁴. The biggest exponent for x is 5 --> degree = 5
Answer:
- First answer: 1
- Second answer: 1
- Third answer: 3
- Last answer: 5
Step-by-step explanation:
Correct on E2020
2. The first and last term of an AP are 1 and 121 respectively. If the sum of the
series is 671, find a) the number of terms in) in the AP b) the common
difference between them.
Step-by-step explanation:
since you provided 1st and the last terms
the equation can be nth term
n/2 × ( a + l) = nth sum
n/2 × ( 1 + 121) = 671
n/2 × 122 = 671
61 n = 671
n = 11
a) so there are 11 terms
then,
so as 11th term is 121
let's find common diff
a + ( n-1) d = nth term
1 +( 11-1) d= 121
10d = 121 -1
10d = 120
common difference = 12
A compressive uniform stress distributed on a rectangular areas of sides. located on the two opposite vertical/radial faces of step. If Force = 1.87kN and stress = 0.987MPa calculate the h * t in m^2
Answer:
Area = 0.019 m²
Step-by-step explanation:
stess = applied Force over Area
since stress = 0.987 MPa
and the force = 1.87 Kn
then Area = h * t
Q = F / (h * t)
0.987 mPa = 1.87 kN / (h* t)
since h * t = Area then 1.87 / 0.987
Area = 1.89 x 0.01 =
Area = 0.019 m²
Connor has a collection of dimes and quarters with a total value of $6.30. The number of dimes is 14 more than the number of quarters. How many of each coin does he have?
Answer:
14 Quarters and 28 dimes
Step-by-step explanation: 14 quarters $3.50
28 dimes is $2.80 total is $6.30
You randomly select an integer from 0 to 24 (inclusively) and then randomly select an integer from 0 to 7 (inclusively). What is the probability of selecting a 5 both times?
Answer:
1/200
Step-by-step explanation:
There are 24 - 0 + 1 = 25 integers from 0 - 24 (inclusive) and 7 - 0 + 1 = 8 integers from 0 - 7 (inclusive) so there are 25 * 8 = 200 possible outcomes from selecting a random integer from each interval. Of these outcomes, there is only one where you select a 5 both times, so the probability is 1/200.
The probability of selecting a 5 both times is 0.005
Given:
integer from 0 to 24
integer from 0 to 7
Now let determine the probability of selecting a 5 both times
P(getting 5 both times)=?
P(1st time 5)=1/25
P(2nd time 5)=1/8
Hence:
P(getting 5 both times) =(1/25)(×1/8)
P(getting 5 both times)=0.04×0.125
P(getting 5 both times)=0.005
Inconclusion The probability of selecting a 5 both times is 0.005
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A customer gave her hair dresser a 20% tip, which amounted to $7. What was the price before the tip?
Answer:
The price before tip was 35
Step-by-step explanation:
Let x = original amount
x * 20% = 7
Change to decimal form
x * .20 = 7
Divide each side by .20
x*.20/.20 = 7/.20
x =35
Identify the level of measurement of the data, and explain what is wrong with the given calculation. In a survey, the hair colors hair colors of respondents are identified as 100100 for brown hair commabrown hair, 200200 for blond hair commablond hair, 300300 for black hair commablack hair, and 400400 for anything else. The average (mean) is calculated for 503503 respondents and the result is 256.1 .256.1. The data are at the ▼ ordinal interval nominal ratio level of measurement.
Answer:
Nominal level of measurement
Step-by-step explanation:
The level of measurements used in this study is the nominal level of measurements. The nominal level of measurements involves the use of numbers to help classify the categories in an experiment.
In this case study, values were gotten for each categories which are brown hair, blonde hair, black hair and other hair colors. Thus, the level of measurements used is the nominal level of measurement.
There is something wrong with the calculation because data was gotten for a total of 600 respondents while the mean that was calculated involved only 503 omitting about 97 respondents.
In a Gallup poll of randomly selected adults, 66% said that they worry about identity theft. For a group of 1013 adults, the mean of those who do not worry about identify theft is closest to:
Answer:
[tex]Mean = 344[/tex]
Step-by-step explanation:
Given
[tex]Population = 1013[/tex]
Let p represents the proportion of those who worry about identity theft;
[tex]p = 66\%[/tex]
Required
Mean of those who do not worry about identity theft
First, the proportion of those who do not worry, has to be calculated;
Represent this with q
In probability;
[tex]p + q = 1[/tex]
Make q the subject of formula
[tex]q = 1 - p[/tex]
Substitute [tex]p = 66\%[/tex]
[tex]q = 1 - 66\%[/tex]
Convert percentage to fraction
[tex]q = 1 - 0.66[/tex]
[tex]q = 0.34[/tex]
Now, the mean can be calculated using:
[tex]Mean = nq[/tex]
Where n represents the population
[tex]Mean = 1013 * 0.34[/tex]
[tex]Mean = 344.42[/tex]
[tex]Mean = 344[/tex] (Approximated)
The sum of two positive integers is 37. When the smaller integer is subtracted from twice the larger, the result is 41. Find the two integers.
Answer:
26 and 11
Step-by-step explanation:
When your add them you get 37, and when you multiply 26 by two you get 52. 52-11 is 41.
Which confidence level will yield the interval that we are most confident in containing the actual value of the population parameter?
a. 99.2%
b. 99.5%
c. Our confidence in whether an interval actually contains the parameter is not affected by the choice of confidence level.
d. 99.9%
Answer:
The confidence level that will yield the interval that we are most confident in containing the actual value of the population parameter is (d) 99.9%
Step-by-step explanation:
the confidence level can be explained simply as a range of values that are well defined and that they contain a specified probability that the value of a parameter lies within the confidence level.
for example when we compare a 99.2% confidence level and 99.9% confidence level, when we have a narrow confidence interval 99.2 (say) this implies that there is a smaller chance of obtaining an observation within that interval, so therefore, our accuracy is higher. Also a 99.2% confidence interval is narrower than a 99.9% confidence interval which is wider. The 99.9% confidence interval is more accurate than the 99.2%.
so that is why we concluded that the most confidence level is 99.9%.
Answer:
Which confidence interval is most likely to contain the population parameter?
✔ between 7.0 and 9.0 hours of sleep
Step-by-step explanation:
A company has five employees on its health insurance plan. Each year, each employee independently has an 80% probability of no hospital admissions. If an employee requires one or more hospital admissions, the number of admissions is modeled by a geometric distribution with a mean of 1.50. The numbers of hospital admissions of different employees are mutually independent. Each hospital admission costs 20,000.
Calculate the probability that the company's total hospital costs in a year are less than 50,000.
Answer:
the probability that the company's total hospital costs in a year are less than 50,000 = 0.7828
Step-by-step explanation:
From the given information:
the probability that the company's total hospital costs in a year are less than 50,000 will be the sum of the probability of the employees admitted.
If anyone is admitted to the hospital, they have [tex]\dfrac{1}{3}[/tex] probability of making at least one more visit, and a [tex]\dfrac{2}{3}[/tex] probability that this is their last visit.
If zero employee was admitted ;
Then:
Probability = (0.80)⁵
Probability = 0.3277
If one employee is admitted once;
Probability = [tex](0.80)^4 \times (0.20)^1 \times (^5_1) \times (\dfrac{2}{3})[/tex]
Probability = [tex](0.80)^4 \times (0.20)^1 \times (\dfrac{5!}{(5-1)!}) \times (\dfrac{2}{3})[/tex]
Probability = 0.2731
If one employee is admitted twice
Probability = [tex](0.80)^3 \times (0.20)^2 \times (^5_2) \times (\dfrac{2}{3})^2[/tex]
Probability = [tex](0.80)^3 \times (0.20)^2 \times (\dfrac{5!}{(5-2)!}) \times (\dfrac{2}{3})^2[/tex]
Probability = 0.1820
If two employees are admitted once
Probability = [tex](0.80)^4\times (0.20)^1 \times (^5_1) \times (\dfrac{1}{3}) \times (\dfrac{2}{3})[/tex]
Probability = [tex](0.80)^4 \times (0.20)^1 \times (\dfrac{5!}{(5-1)!}) \times (\dfrac{1}{3}) \times (\dfrac{2}{3})[/tex]
Probability = 0.0910
∴
the probability that the company's total hospital costs in a year are less than 50,000 = 0.3277 + 0.2731 + 0.1820
the probability that the company's total hospital costs in a year are less than 50,000 = 0.7828
I NEED HELP ASAP choose one of the multiple choice
Answer:
B. Square both sides of the equation.
Step-by-step explanation:
You cannot do anything to the equation unless you square both sides to eliminate the square root on the left (squaring each individual term of the equation does not help; you need to square the entire square root to eliminate it).
Hope this helps!
PLS PLSPLS HELPPP------
Answer:
Total Area = [tex]104+16\,\sqrt{13}[/tex]
Step-by-step explanation:
If T.A. stands for Total Area, then we need to add the area of two equal right angle triangles of base 6' and height 4', which give : 2 * (6' * 4'/2) = 24 square feet. tothe area of three rectangles (the lateral faces of this triangular base prism):
[tex](8')*(4')+(8')*(6')+(8')*(\sqrt{6^2+4^2})= 32+48+8\,\sqrt{52} =80+8\,*\,2\,\sqrt{13}=80+16\,\sqrt{13}[/tex]
Therefore the total area of the prism is:
[tex]24+80+16\,\sqrt{13} =104+16\,\sqrt{13}[/tex]
5/12 +( 5/12 + 3/4 ) =
Answer:
Proper: 15/4
Improper: 3 3/4
Step-by-step explanation:
Well to solve the following question,
5/12 + (5/12 + 3/4)
We solve the part in the parenthesis first,
5/12 + 3/4 = 14/4
Simplified -> 7/2
5/12 + 7/2
= 45/12
Simplified -> 15/4
Thus,
the answer is 15/4 or 3 3/4.
Hope this helps :)
Answer:
19/12= [tex]1 \frac{7}{12}[/tex]Step-by-step explanation:
[tex]\frac{5}{12}+\left(\frac{5}{12}+\frac{3}{4}\right)\\\\=\frac{5}{12}+\frac{5}{12}+\frac{3}{4}\\\\\mathrm{Add\:similar\:elements:}\:\frac{5}{12}+\frac{5}{12}=2\times \frac{5}{12}\\=2\times \frac{5}{12}+\frac{3}{4}\\\\=\frac{5\times \:2}{12}\\\\=\frac{10}{12}\\\\=\frac{10}{12}\\\\=\frac{5}{6}+\frac{3}{4}\\L.C.M =12\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\\\\frac{5}{6}=\frac{5\cdot \:2}{6\times \:2}=\frac{10}{12}\\\\\frac{3}{4}=\frac{3\times \:3}{4\times \:3}=\frac{9}{12}\\[/tex]
[tex]\\=\frac{10}{12}+\frac{9}{12}\\\mathrm{Since\:the\:denominators\:are\:equal\\\:combine\:the\:fractions}:\\\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\=\frac{10+9}{12}\\\\=\frac{19}{12}[/tex]
Find the area of the region enclosed by f(x) and the x-axis for the given function over the specified interval.
Answer:
Step-by-step explanation:
Complete Question
The complete question is shown on the first uploaded image
Answer:
The area is [tex]A =8 sq\cdot unit[/tex]
Step-by-step explanation:
From the question we are told that
The first equation is [tex]f(x) = x^2 + x \ \ \ x< 1[/tex]
[tex]on[ -2 , 3 ][/tex]
The second equation is [tex]f(x) = 2 x \ \ \ x \ge 1[/tex]
This means that the limit of the area under the enclosed region is limited between -2 to 1 on the x- axis for first equation and 1 to 3 for second equation
Now the area under the region is evaluated as
[tex]A = \int\limits^1_{-2}{x^2 + x } \, dx + \int\limits^3_{1}{2x } \, dx[/tex]
[tex]A ={ \frac{x^3}{3} + \frac{x^2}{2} + c } | \left \ 1 } \atop {-2}} \right. + {\frac{2x^2}{2} }| \left \ 3} \atop {1}} \right.[/tex]
[tex]A =9 + c - 1 -c[/tex]
[tex]A =8 sq\cdot unit[/tex]
Please answer this correctly without making mistakes
Answer:
2/7
Step-by-step explanation:
Joseph bought a cheese and cut it into 7 equal pieces, so the denominator is 7.
Saved 5 pieces for cooking.
Gave 2 pieces to Omar.
Hope this helps :) ❤❤❤
Answer:
Step-by-step explanation:
if he gives to Omar 2 pieces of 7
2/7 = 28.57% for Omar rest of is for himself
A physics class has students. Of these, students are physics majors and students are female. Of the physics majors, are female. Find the probability that a randomly selected student is female or a physics major. The probability that a randomly selected student is female or a physics major is nothing.\
Answer:
The probability that a randomly selected student is female or a physics major is 0.65.
Step-by-step explanation:
Note: This question is not complete. A complete is therefore provided before answering the question as follows:
A physics class has 40 students. Of these, 14 students are physics majors and 18 students are female. Of the physics majors, six are female. Find the probability that a randomly selected student is female or a physics major. The probability that a randomly selected student is female or a physics major is_______.
The Step-by-step explanation is therefore provided now as follows:
The probability that a randomly selected student is female or a physics major can be calculated using the following formula:
P(PM or F) = P(PM) + P(F) - P(PMF)
Where;
P(PM or F) = Probability of student selected is Physics Major or Female = ?
P(PM) = Probability of student selected is Physics Major = Number of Physics Major / Total number of students in the Physics class = 14 / 40 = 0.35
P(F) = Probability of student selected is Female = Number of female students in the Physics class / Total number students in the Physics class = 18 / 40 = 0.45
P(PMF) = Probability of student selected is Physics Major and Female = Number Physics Major that female in the Physics class / Total number students in the Physics class = 6 / 40 = 0.15
Substituting the values into equation (1), we have:
P(PM or F) = 0.35 + 0.45 - 0.15 = 0.65
Therefore, the probability that a randomly selected student is female or a physics major is 0.65.
Answer:
what is the physics question
Step-by-step explanation:
Find the common ratio of the following geometric sequence:
11,55, 275, 1375, ....
Answer:
Hey there!
The common ratio is 5, because you multiply by 5 to get from one term to the next.
Hope this helps :)
Answer:
5
Step-by-step explanation:
To find the common ratio take the second term and divide by the first term
55/11 = 5
The common ratio would be 5
WHY CAN'T ANYONE HELP ME :( Solve the formula for the specified variable. tex]D=\frac{1}{4}fk for f.
Answer:
4d/k or [tex]\frac{4d}{k}[/tex]
Step-by-step explanation:
first multiply both sides by four
you will have 4d=fk
then divide by k
4d/k=f
John needs to produce a scale diagram of a bedroom using a scale of 1:40. The length of the room is 3.4 metres. What is the length on the diagram? _____ cm
Answer:
8.5cm
Step-by-step explanation:
convert 3.4metres to cm that is by multiplying by 100
3.4×100=340cm
1rep 40
?rep 340
that is 340/40
=8.5cm
Answer:
8.5 cm
Step-by-step explanation:
Scale = 1:40
Length of the room = 3.4 meters
3.4 meters =3.4 X 100 =340 cm
Since 1 unit on the diagram represents 40 units
The length of the diagram
[tex]=\dfrac{340}{40}\\\\=8.5$ cm[/tex]
The length of the room on the diagram is 8.5 cm.
Joylin’s work to solve a math problem is shown below. Problem: Manny walked StartFraction 5 Over 16 EndFraction of the distance to the library in One-third of an hour. If he walks at a constant rate, what is the total amount of time he will spend walking to the library? Step 1: StartFraction 5 Over 16 EndFraction divided by one-third = h Step 2: StartFraction 16 Over 5 EndFraction times StartFraction 3 Over 1 EndFraction = h Step 3: StartFraction 48 Over 5 EndFraction = h Answer: 9 and three-fifths = h What was Joylin’s first error? She switched the divisor and the dividend when creating an equation to model the problem in step 1. She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2. She multiplied the two numerators and the two denominators to generate her product in step 3. She reduced the improper fraction incorrectly when getting her final answer.
Answer: She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2
Step-by-step explanation:
Answer:
She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2.
Step-by-step explanation:
Part of the proceeds from a garage sale was $440 worth of $10 and $20 bills. If there were 2 more $10 bills than $20 bills, find the number of each denomination.
Hey there! I'm happy to help!
Let's set this up a system of equations where x represents the number of 10 dollar bills and y represents the number of 20 dollar bills.
10x+20y=440
x=y+2
We see that x has a value of y+2, so we can replace the x in the first equation with y+2 so we can solve for y.
10(y+2)+20y=440
We use distributive property to undo the parentheses.
10y+20+20y=440
We combine like terms.
30y+20=440
We subtract 20 from both sides.
30y=420
y=14
Since there are 2 more $10 bills, there would be 16 of those.
Therefore, there are 16 $10 bills and 14 $20 bills.
Have a wonderful day! :D
The towers of a suspension bridge are 450 feet apart and 150 feet high from the roadway. Cables are at a height of 25 feet above the roadway, midway between the towers, but gradually get taller toward each end. Assume the x-axis is the roadway and the y-axis is the center of the bridge, write an equation for the parabola. What is the height of the cable at a point 50 feet from one of the towers? Round to the nearest whole number.
Answer:
y = 1/405 x² + 25
101 feet
Step-by-step explanation:
The vertex of the parabola is (0, 25).
The equation of the parabola is:
y − 25 = a (x − 0)²
y = ax² + 25
Two points on the parabola are (-225, 150) and (225, 150).
Plugging in one of those points:
150 = a (225)² + 25
125 = 50625 a
a = 1/405
The equation is therefore:
y = 1/405 x² + 25
50 feet from a tower is 175 feet from the center.
y = 1/405 (175)² + 25
y ≈ 101
Which statement is true about figures ABC D & ABCD
Answer:
it's option b that is the right answer
What is x in this Math problem 2/3x=27
Answer: x = 40.5
Step-by-step explanation:
Simply divide 27/(2/3) to get 40.5
Hope it helps <3
Answer:
x= 40.5
Step-by-step explanation:
We want to find out what x is. Therefore, we must get x by itself on one side of the equation.
2/3x= 27
2/3 and x are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 2/3.
2/3x / 2/3 = 27/ 2/3
When dividing by a fraction, you can also multiply by the reciprocal of the fraction.
To find the reciprocal, flip the numerator (top number) and denominator( bottom number)
2/3 —> 3/2
Multiply both sides of the equation by 3/2
2/3x *3/2 = 27*3/2
x= 27*3/2
x= 27/1*3/2
x= (27*3)/(1*2)
x= 81/2
x= 40.5
Mitch mixes 5 parts white paint to 9 parts blue paint. If he has 4 qt of white paint, how much blue paint would he need?
He would need
qt of blue paint
Answer:
7.2 qt
Step-by-step explanation:
1. Determine how much blue paint is needed in comparison to white paint
9 ÷ 5 = 1.8
For every 1 part of white paint, 1.8 times that amount of blue paint is needed.
2. Multiply the 4 qt of white paint by 1.8
4 · 1.8 = 7.2
The number of blue paints Mitch will need given the proportion of white and blue paints is 7.2qt
Given:
Blue paints = 9
White paints = 5
Ratio of blue paints to white paints = 9 : 5
If Mitch has 4 qt of white paintNumber of blue paints needed is xRatio of blue paints to white paints = x : 4
Equate the ratio9 : 5 = x : 4
9/5 = x/4
cross product
9 × 4 = 5 × x
36 = 5x
x = 36/5
x = 7.2 qt
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Joey borrows 2000 from his grandfather and pays the money back in monthly payments of 200.
1. Write a lineat function that represents the remaining money owed L(x) after x months.
2. Evaluate L(10) and interpret the meaning in the context of this problem.
A. L(x) - 200x + 2,400; L(10) = 4,400, This represents the amount Joey has paid his grandfather after 10 months.
B. L(x) = 200x + 2,400; L(10) - 4,400, This represents the amount Joey still owes his grandfather after 10 months.
C. L(x) = -200x + 2,400; L(10) = 400, This represents the amount Joey has paid his grandfather after 10 months.
D. L(x) = -200x + 2,400; L(10) = 400, This represents the amount Joey still owes his grandfather after 10 months.
The correct question is;
Joey borrows $2400 from his grandfather and pays the money back in monthly payments of $200.
a. Write a linear function that represents the remaining money owed L(x) after x months.
b. Evaluate L(10) and interpret the meaning in the context of this problem.
A) L(x) = 200x + 2400; L(10) = 4400, This represents the amount Joey still owes his
grandfather after 10 months.
B) L(x) = -200x + 2400; L(10) = 400, This represents the amount Joey has paid his
grandfather after 10 months.
C) L(x) = 200x + 2400; L(10) = 4400, This represents the amount Joey has paid his
grandfather after 10 months.
D) L(x) = -200x + 2400; L(10) = 400, This represents the amount Joey still owes his
grandfather after 10 months.
Answer:
A) L(x) = 2400 - 200x
B) Option D is correct
Step-by-step explanation:
A) We are told that Joey borrowed 2400.
Now he pays back in installments of 200 every month.
Thus for x number of months he would have paid 200x.
Thus,the linear function that represents the remaining money owed is;
L(x) = 2400 - 200x
B) L(10) = 2400 - (200 * 10)
L(10) = 2400 - 2000
L(10) = 400
Thus, after 10 months, Joey is owing 400.
So, looking at the given options, the correct one is option D.