Mel works as a delivery person for Amazon. The graph shows a linear model for his delivery times on
different days.
(a) What is the equation of the line, first written in point-slope form and then written in slope-intercept
form? Show how you determined the equation.
(b) Based on the linear model, predict how long it initially took Phillip to deliver his packages.
Approximately how much did his delivery time decrease per day?
Answers
Answer:
Step-by-step explanation:
Equation of a line passing through (h, k) in point slope form is given by,
y - k = m(x - h)
From the graph attached,
Slope of the line passing through (6, 12) and (3, 21),
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{21-12}{3-6}[/tex]
= -3
Therefore, point - slope form of the line passing through (3, 21) will be,
y - 21 = -3(x - 3)
Now convert this equation in slope intercept form,
y = -3x + 9 + 21
y = -3x + 31
(b). For x = 1 Or day 1
y = -3(1) + 31
y = 28 minutes
Therefore, Phillip took 28 minutes initially to deliver his packages.
Slope of the line states the decrease in the delivery time per day that is 3 minutes per day.
Related Questions
solve the inequality : 8<=2/3(3y-6)
Answers
Answer:
I'm assuming you meant [tex]8\leq \frac{2}{3} (3y-6)[/tex], if so the answer is [tex]\:y\ge \:6\:[/tex]
Step-by-step explanation:
hope this helps :)
Answer:
y_>-6
Step-by-step explanation:
8<=2y-4
2y-4>=8
2y-4+4>=8+4
2y>=12
2y/2>=12/2
HEEEEEELP
A souvenir store sells postcards and magnets.
Each postcard costs $1, and each magnet costs $3.
If Annalee purchased a total of 10 postcards and
magnets that cost a total of $22 before tax, how many
magnets did she purchase?
A) 3
B) 4
C) 5
D) 6
4
Answers
Answer:
6
Step-by-step explanation:
Answer:
D) 6
Step-by-step explanation:
Assumption method:
Assume all are postcards.
Total cost of postcards = 10 × $1
= $10
Difference between total = $22 - $10
= $12
Difference between subjects = $3 - $1
= $2
No. of magnets = $12 ÷ $2
= 6
A recipe for 6 people uses 250g
of flour. How much flour will be
needed to make the recipe for 15
people?
Answers
Answer:
625
Step-by-step explanation:
250/6 =41.6666666667
41.6666666667x15 = 625
Which of the following statements about tornadoes is true
Answers
Answer:
I think the second one and the last one
Step-by-step explanation:
please mark me as brainliest thank you
Answer:
D.) Most tornadoes have wind speeds greater than 105 kph
Step-by-step explanation:
took the quiz
Translate the phrase into an algebraic expression. The difference of w and 6
Answers
Answer:
w - 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Translate
"Difference" is subtraction
"w" is w
"6" is 6
Step 2: Write
w - 6
If $8000 is invested in an account for which interest is compounded continuously, find the amount of the investment at the end of 12 years for the following
interest rates.
(a) 2%
(b) 3%
(c) 4.5%
(d) 7%
Answers
Answer:
a) $1920, b) $2880, c) $4320, d) $6720
Step-by-step explanation:
a) Interest = Principal(Rate)(time)/100
Interest = $8000(12)(2)/100
Interest = $1,920
b) Interest = $8000(3)(12)/100
Interest = $2880
c) Interest = $8000(4.5)(12)/100
Interest = $4320
d) Interest = $8000(7)(12)/100
Interest = $6720
0.15(y-0.2)=2-0.5(1-y)
Answers
Answer:25
Step-by-step explanation:
it 25 bc if u add them and then subtract then u get 25
In a box of chocolates, 1/5 of the chocolates contain nuts.
The rest of the chocolates do not contain nuts.
Write down the ratio of the number of chocolates that contain nuts to number of chocolates that do not contain nuts.
Give your answer in the form of 1:n
Answers
Answer:
The ratio of the number of chocolates that contain nuts to the number of chocolates = 1:4
Step-by-step explanation:
The parameters given are;
Proportion of the box of chocolates that contain nuts = 1/5
Proportion of the box of chocolates that do not contain nuts = 1 - 1/5 = 4/5
Therefore, we have in a box of chocolates with five chocolates;
The number of chocolates that contain nuts = 1
The number of chocolates that do not contain nuts = 4
Which gives the ratio of the number of chocolates that contain nuts to the number of chocolates as 1:4.
Traveling upstream (against the current) in a boat, you can travel 35 miles in 7 hours. It
takes half the time (3.5 hours) to travel the same distance downstream (with the
current). Find the speed of the current.
Answers
Answer:
The speed of the current is 2.5 miles per hour
Step-by-step explanation:
Systems of Equations
Let's call:
B = velocity of the boat
C = velocity of the current
When traveling upstream, the current is against the boat thus the relative velocity is B-C.
The distance is the product of the velocity by the time. Since the boat takes 7 hours to travel 35 miles upstream, thus:
d=(B-C)*7=35
Dividing by 7:
B - C = 5 [1]
When traveling downstream, the current and the boat are collaborative and the relative velocity is B+C. The travel takes now 3.5 hours, thus:
d=(B+C)*3.5=35
Dividing by 3.5:
B + C = 10 [2]
Subtracting [2] - [1]:
2C = 5
C = 5/2 = 2.5
The speed of the current is 2.5 miles per hour
What is the domain of the square root function graphed below?
On a coordinate plane, a curve opens down to the right and goes through quadrants 1 and 2. The curve starts at (negative 4, 0) and goes through (negative 3, 1) and (0, 2).
x greater-than-or-equal-to negative 4
x greater-than negative 4
x greater-than-or-equal-to 0
x greater-than 0
Answers
Answer:
x greater-than-or-equal-to negative 4
Answer:
X is equal to or greater than four
Step-by-step explanation:
I got it right!!! hopefully you do too
Type SSS, SAS, ASA, SAA, or HL
to justify why the two smaller triangles are
congruent.
Answers
Answer:
SSS
Step-by-step explanation:
They are congruent because they have 3 same sides.
5 squared + 6 squared
Answers
Answer:
61
Step-by-step explanation:
25 + 36
Answer:
(5)^2 + (6)^2
25 + 36
= 61
hope it helps you
pls answer if you can i need the answer right away
Answers
Answer:
What’s the question?
Step-by-step explanation:
Sean has a beginning balance of $328.15 in his account. He writes checks for the following amounts: $20.75, $43.58,
$30.45, and $29.72. What is the new balance in Sean's account?
$14.75
$203.65
$124.50
$307.40
Answers
Answer:
The new balance in Sean's account is $203.65
Step-by-step explanation:
The initial balance in Sean's account is $328.15. Then he writes checks for the amounts $20.75, $43.58, $30.45, and $29.72.
The sum of his checks is $20.75 + $43.58 + $30.45 + $29.72 = $124.5
The new balance in Sean's account is the initial balance minus the sum of the amounts of the checks he wrote:
Final balance = $328.15 - $124.5 = $203.65
The new balance in Sean's account is $203.65
Pls help and take your time cuz if I get this wrong I fail WILL MARK BRAINIEST
Answers
Help me if you can
Answers
Answer:
she would be 6'2 aka 74 inches
Step-by-step explanation:
T = 4 S or S = 1/4 T
T = 4 S = 4 (18,5 inches)
Hope this helps!! Have an amazing day!!
You purchase 3 action figures per week. You have 27 action figures, which is 60% of the total number of action figures you need to complete your collection. How many weeks until your collection is complete?
Answers
45-27=18
18/3 per week=6 weeks
Lori lives 272 miles from her grandparents, 411 miles from her aunt, and 39 miles from her cousins. About how much closer does Lori live to her grandparents than to her aunt?
Answers
Answer:
139 miles
Step-by-step explanation:
Lori lives 272 miles from her grandparents
411 miles from her aunt
39 miles from her cousins
Therefore the distance in which Lori lives to get grandmother than her aunt can be calculated as follows
= 411 miles - 272 miles.
= 139 miles
Identify the initial amount and the growth rate of the following:
Y = 9.8 (1.35)^t
Answers
The initial amount is when t = 0, so it is 9.8 * 1 = 9.8. The growth rate is how much the amount goes up by for every increase of 1 in t. This is 1.35 because that is the part being affected by t. we plug in 0 for t to get 9.8 as the initial amount. The growth rate is just 135% factor, or 35% more each time, because 1.35 is the base of the exponent.
Write 72xy^2 as a prime factorization. With the steps
Answers
I think that this number is already prime.
Step-by-step explanation:
I could be wrong
please helppp
•••••••••••••
Answers
Answer:
if it is x-5, and y +3 than
a = -2,3
b = -1,5
c = -4,6
Step-by-step explanation:
if we are going in a
(x,y)
order and x-5, and y +3, than this should be correct.
Kate received $15 from her Nana on her birthday. Kate used this money to open a bank account, and added money each week as shown in the table. Interpret the y-intercept of the graph of this function.
Answers
Answer:
15
Step-by-step explanation:
x = time in weeks
y= dollars
so once x hits 0 they corresponding y will be the y intercept.
The data set shows how many points Mark scored in each basketball game he played this season.
1.4, 4.5,5, 7, 8, 8, 10, 11, 11, 11, 14, 15, 16
The box plot shown is a summary of the data.
Move numbers to the spaces to label the values and complete the box plot.
*not drawn to scale
1
5
8
9
11
12
14
15
16
Answers
Answer:
1,5,8,11,16
Step-by-step explanation:
Due today please help!
Answers
Select the correct answer. if f(x) =
Answers
Answer:
A is the correcy asnwer
Step-by-step explanation:
Answer:
C. y = - f(x) - 3Step-by-step explanation:
Given parent function:
f(x) = √xThe graphed is reflection of the parent function over x-axis and translated 3 units down. This is:
y = - f(x) - 3Correct option is C
Match the lines m and n to the statements they represent
Answers
Answer:
Line n: A set of points where the coordinates of each point have a sum of 2
Line m: A set of points where the y-coordinate of each point is 10 less than the x-coordinate
Step-by-step explanation:
Given
Lines m and n (See attachment)
Required
Interpret both lines
First, we pick few coordinates of line m and then line n.
For m
[tex](x_1,y_1) = (13,3)[/tex] -- At point E
[tex](x_2,y_2) = (6,-4)[/tex] -- At point B
[tex](x_3,y_3) = (2,-8)[/tex] -- At point D
For n
[tex](x_1,y_1) = (-2,4)[/tex] -- At point A
[tex](x_2,y_2) = (6,-4)[/tex] -- At point B
[tex](x_3,y_3) = (12,-10)[/tex] -- At point C
Test for Statement A:
Set of point with a sum of 2
i.e.
[tex]x + y = 2[/tex]
For m
[tex](x_1,y_1) = (13,3)[/tex] -- At point E
[tex]x_1 + y_1 = 13 + 3 = 16[/tex]
This statement is not true for line m
For n
[tex](x_1,y_1) = (-2,4)[/tex] -- At point A
[tex]x_1 + y_1 = -2 + 4 = 2[/tex]
[tex](x_2,y_2) = (6,-4)[/tex] -- At point B
[tex]x_2 + y_2 = 6- 4 = 2[/tex]
[tex](x_3,y_3) = (12,-10)[/tex] -- At point C
[tex]x_3 + y_3 = 12- 10 = 2[/tex]
This statement is true for line n
Test for Statement 2:
Set of points where y is x - 10
i.e.
[tex]y = x - 10[/tex]
For m
[tex](x_1,y_1) = (13,3)[/tex] -- At point E
[tex]y_1 = x_1 - 10[/tex]
[tex]3 = 13 - 10[/tex]
[tex]3 = 3[/tex]
[tex](x_2,y_2) = (6,-4)[/tex] -- At point B
[tex]y_2 = x_2 - 10[/tex]
[tex]-4 = 6 - 10[/tex]
[tex]-4 = - 4[/tex]
[tex](x_3,y_3) = (2,-8)[/tex] -- At point D
[tex]y_3 = x_3 - 10[/tex]
[tex]-8 = 2 - 10[/tex]
[tex]-8 = -8[/tex]
This statement is true for line m
Write an equation parallel to x - 2y = 4 that passes through the point (-8, 2).
Answers
Answer:
y=1/2x+6
Step-by-step explanation:
Change to slope intercept form: y=1/2x-2
Take out the b term
Plug in point (-8, 2)
Get b as 6
Plug in b
Get y=1/2x+6
Find the gradients of lines A and B
Answers
Step-by-step explanation:
[tex]the \: gradient \: of \: line \: a \: is[/tex]
[tex]m = \frac{4}{1 } \\ m = 4[/tex]
[tex]the \: gradient \: of \: line \: b \: is[/tex]
[tex]m = \frac{ - 2}{1} \\ m = - 2[/tex]
Gradients of line A is equals to [tex]4[/tex] and gradients of line B is equals to [tex]-2[/tex].
What is gradients?" Gradients is defined as the ratio of difference of y-coordinates to the difference of x-coordinates."
Formula used
Gradients [tex]= \frac{y_{2}- y_{1}}{x_{2}- x_{1}}[/tex]
According to the question,
Given from the graph,
Coordinates of Line A
[tex](x_{1} ,y_{1} ) = ( 3,3)\\\\(x_{2} ,y_{2} ) = ( 4,7)[/tex]
Substitute the value in the formula we get,
Gradient of line A [tex]= \frac{7-3}{4-3}[/tex]
[tex]= 4[/tex]
Coordinates of Line B
[tex](x_{1} ,y_{1} ) = ( -1,3)\\\\(x_{2} ,y_{2} ) = ( -2,5)[/tex]
Gradient of line B [tex]= \frac{5-3}{-2-(-1)}[/tex]
[tex]= -2[/tex]
Hence, gradients of line A is equals to [tex]4[/tex] and gradients of line B is equals to [tex]-2[/tex].
Learn more about gradients here
https://brainly.com/question/13020257
#SPJ2
Factor the expression 4x + 32. Explain each step you
take in the process.
Answers
Answer:
4x + 32 = 4x + 4.8 = || 4. (x + 8) ||
Step-by-step explanation:
Mr. Verrengia bought some math supplies at the local math depot. He
doesn’t remember how much money the items cost, but knows that
the 5% sales tax came to $1.25. How much money did he spend on the
math supplies before tax?
I need to know quick!
Answers
Answer:
6.25
Step-by-step explanation: