At the start of his work day, Mr. Eriksen had 20 boxes of light bulbs tested and ready to be shipped. On average, he can test 40 boxes of light bulbs each hour. Of the 40 boxes tested each hour, he sets aside 5 boxes for retesting. The remaining boxes are marked as ready to be shipped.

A: Mr. Eriksen's situation can be represented by a linear function. Identify the rate of change and initial value of this function. Explain what these values represent in terms of the situation.

B: Write an equation in slope-intercept form to represent the situation. Use x for the independent variable and y for the dependent variable. Identify what both variables represent.

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Initial value is 20 as there are already 20 boxes ready for shipment.

Each hour 40 - 5 = 35 boxes are ready for shipment

The linear function for this case is:

y = 35x + 20

35 is the slope or rate of change, 20 is the y-intercept.

y- the number of boxes ready for shipment after x hours.


Related Questions

Michael walks a group of dogs 3 miles every day. The graph below shows the relationship between the number of dogs in the group and the distance he walks the dogs each day​

Answers

Can you please add the graph, plus the question?

Math experts can you please factor this thank you

Answers

Answer:

(x - 2) (x + 5)

Step-by-step explanation:

Hope this helps!

Use the pH standards below to answer the following questions:
pH Water Quality Standards
pH Range
Good-neutral
7-7.5
Fair - neutral zone
6.5-6.9 or 7.5-8.5
5.5-6.4 or 8.6-9
Marginal - too acidic or basic
Less than 5.5 or more than 9
Poor -- too acidic or basic
a. What is the water quality of water with a pH of 4.4?
b. What is the water quality of water with a pH of 7.2?
c. What is the water quality of water with a pH of 6.3?

Answers

A is poor
B is good
C is marginal

Hey Guys I need some help in answering( some areas of a Triangle) - the Question will be attached Below.
Can you guys also help me by putting the working out too All of the Questions ( Including page 1 & 2 Please so I can also Understand).
Thanks! Greatly Appreciated if you Can!

Answers

Step-by-step explanation:

2)

Rectangle has side 5 cm so one side of triangle will be 5cm

area of triangle is = 1/2lb

= 1/2 5*4

=10 cm^2

area of rectangle is l*b = 5*3= 15 cm^2

are of the shape is 10+ 15= 25 cm^2

Area of rectangle is 6*8 = 48 m^2

Area of triangle is = 1/2 *8*2= 8 m^2

area of the shape is 48+8= 56m^2

linear or non linear?​

Answers

Answer:

non linear

Step-by-step explanation:

when you graph it, the line is a zero slope

non linear because no x has the same number

If x=2, y=5, z=3, find the value of:

Answers

Answer:

value of? please include whole question

Question 9 (1 point) Which of the following does NOT describe mass?
a remains constant
b a measure of matter
C a measure of gravitational force
d measured in kilograms ​

Answers

C. A measure of gravitational force

The answer is a measure of gravitational force

Convert the measurement as indicated

90 in to yards

Answers

Answer: 2.5 yards

Step-by-step explanation: Divide the inches value by 36.    90/36 = 2.5

evaluate (-3) (-10) answer
dddddd

Answers

Answer:

30 because negative x negative = a positive number

(5x - 17) + 48
find the value of X and Y

Answers

The answer to this question is x=13

A car rental agency charges $70 per day, which includes 100 miles. For each mile over 100 miles, there is an additional cost of $0.40 per
Write an equation relating m, the number of miles driven, if the total cost for a one-day rental was $212.

Answers

Answer:

212=70+(m X 0.40)

If $212 is the total cost for a one-day rental, the number of miles driven is 455 miles.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Cost of car rent per day for 100 miles = $70

Additional cost per mile = $0.40

Let m = number of miles driven

Total cost for one day rental = $212

The equation that represents the additional m = miles driven for a day that cost $212 is:

212 - 70 = 0.40m

142 = 0.40m

m = 142 / 0.40

m = 355

This means 355 additional miles were driven.

The number of miles driven for the day is:

= 100 + 355

= 455 miles

Thus if $212 is the total cost for a one-day rental, the number of miles driven is 455 miles.

Learn more about equations here:

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someone to give me the answer to this ...? please!

Answers

Answer:

1.

a. x = 2

b. x = 6

c. x = 5/4 or 1.25

2. You have to do it on your own. sorry!

3. slope  = +3

4. y = 1/3x + 4

5. y = 2x + 3

6. pattern = +8

39, 47, 55

7.You have to do it on your own. sorry!

8. You need a protractor so I am guessing

a.60*

b.95*

c.145*

Step-by-step explanation:

Have a nice day! :-)

K(–5, –9); rotation 180° about the origin, translation 3 units left

Answers

Answer:

Step-by-step explanation:

Rotate 180 degrees about the origin

X(x,y) ====> X'(-x,-y)

K(-5 , - 9) = K ' (- -5, - - 9)

K' (5,9)

3 Units Left.

y is unchanged.

x becomes x - 3

K'(5,9) ===>k" (5 - 3,9)

k"(2,9)

The leftward motion does not look done the same way as moving a parabola left. But you are just changing the x value to move a point left. You are not imposing other rules on the figure.

Solve the equation: 8 = 1/3(a+5)

Answers

Answer:

a=19

Step-by-step explanation:

8=1/3(a+5)            by dividing both sides by 1/3

24 = a+5              get 5 to other side with oposite sign

24-5 = a

a = 19

Answer:

a = 19

Step-by-step explanation:

8 = [tex]\frac{1}{3}[/tex] ( a + 5) ← multiply both sides by 3 to clear the fraction

24 = a + 5 ( subtract 5 from both sides )

19 = a

The length of Chen’s office is 15.5 feet and the width is 7.8 feet. Use the formula P = 2ℓ + 2w to find the perimeter of the office.

Answers

46.6 feet

Step-by-step explanation:

P = 2ℓ + 2w

P = 2(ℓ + w)

P = 2(15.5 + 7.8)

P = 2(23.3)

P = 46.6 feet

I still need to know this and the blank5.) 48 : _______ = 8 : 9

Answers

48:54=8:9 hope this helps!! If you’re not sure you can check by cross multiplying 48x9 and 54x8!!

4
3
1
-5 -4 3.-2.-1
2
1
13
- 2
-3
-4
1-5
Find the slope of the line graphed.

Answers

Answer:

2/5

Step-by-step explanation:

cuz

The ratio of the number of apples to the number of oranges is 5:2 . There are 18 more apples than oranges. If 24 oranges are added, what will be the new ratios of apples to the numbers of orange?

Answers

Answer:

5 : 6

Step-by-step explanation:

The ratio of apples to oranges is 5 : 2 = 5x : 2x ( x is a multiplier )

There are 18 more apples than oranges , that is

5x = 2x + 18 ( subtract 2x from both sides )

3x = 18 ( divide both sides by 3 )

x = 6

There are 5 × 6 = 30 apples and 2 × 6 = 12 oranges

The number of oranges is increased by 24, to 12 + 24 = 36 , then

30 apples : 36 oranges ( divide both parts by 6 )

= 5 : 6

helppp
what is the slope?

Answers

Answer:

2/3

Step-by-step explanation:

Find a two coordinates on the line such as (20,40) and (50,60)

plug it into the slope formula m= y2 - y1 / x2- x1

it doesn't matter what way you plug them in

m = slope

m = 60-40 / 50 - 20 = 20/30 = 2/3

The slope is 2/3 I simplified 20/30 by dividing by 10

hope this helped

It snowed 9.33 inches on Monday and 0.66 inches on Tuesday. How much did it snow on
Monday and Tuesday combined?

Answers

9.33 +

0.66

9.99

It snowed 9.99 inches on Monday and Tuesday combined

solve for x
2x×7÷2=8

Answers

Answer:

x=8/7

2x times 7 divided by 2 = 8

solve for x

Step-by-step explanation:

2x ×7/2 =8

2x =8×2/7

x=8×2/2×7

x=8/7 or 1⅐.

hope this helps you.

The length of a car is [tex]\sqrt{163}[/tex] ft. Will this car fit in a garage that measures 10 ft​ long? If​ not, what is the minimum length of a garage long enough for this​ car?

Answers

Step-by-step explanation:

example:

{163} you dont enough the tex

6x+10=30x+135 solve for "x"

Answers

Answer:

x=-125/24

Step-by-step explanation:

(6x+10)+(-10-30x)=(30x+135)+(-10-30x)

(6x+10)+(-30x-10)=(30x+135)+(-30x-10)

6x+10-30x-10=30x+135-30x-10

6x-30x+10-10=30x-30x+135-10

-24x=125

24x/24=-125/24

x=-125/24

I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D

Answers

Answer:

a line graph

Step-by-step explanation:

they can make u easily see the rise and fall throught the years and it is easy to see ur data. historgrams are grouped into number ranges and bar graph are used to compare different categories.

What is the missing value

Answers

Answer:

I am not entirely sure but I think it is 1.

Step-by-step explanation:

Don't quote me on this though. Please tell me if I am wrong.

Divide and express in the form of a complex number a + b i.
(-1 - 2i) / (- 4 + 3i)

Answers

Answer:

-2 / 25 + (11 / 25) i

Step-by-step explanation:

Hope this helps :)

A figure above the line y=-1 is reflected across the line y=-1 and then reflected across the line y=-5. Determine the slope and magnitude of the equivalent translation vector.

Answers

Answer:

s

Step-by-step explanation:

Please help!!
Victor's solution to an equation is shown below. Which property of real numbers did Victor use for Step 3? A. Associative Property of Multiplication B. Addition Property of Equality C. Subtraction Property of Equality D. Commutative Property of Multiplication

Answers

Answer:

can't see the equation sorry

Answer:

Subtraction Property of Equality

Step-by-step explanation:

Victor solved this inequality as shown:

Given: 6+3(x+5) = 36

Step 1: 6+3x+15 = 36

Step 2: 3x+21= 36

Step 3: 3x = 15

Step 4: 3x=15

What property justifies the work between step 3, I'm guessing its this question if not message me.

from step 2 to 3 we must use Subtraction Property of Equality since

3x+21 = 36 must subtract 21 both sides

then u get 3x=15

Translate this phrase into an algebraic expression.

17 increased by twice Gail’s savings.

Use the variable g to represent Gail’s savings.

Answers

Answer:23/18

Step-by-step explanation:

A computer selects a number
X
X
from 4 to 11 randomly and uniformly. Round all answers to 4 decimal places where possible.
What is the distribution of
X
X
?
X
X
~ U(,)
Suppose that the computer randomly picks 35 such numbers. What is the distribution of
¯
x
x
¯
for this selection of numbers.
¯
x
x
¯
~ N(,)
What is the probability that the average of 35 numbers will be less than 7.9?

Answers

Answer:

22.5

Step-by-step explanation:

The required Distribution, selection and probability is X to U(4,11), x to N (7.5, 0.3415) and 0.87932 respectively.  

(a) Distribution of X is uniform distribution  X to U(4,11).


(b) Sample size (n) = 35, distribution of mean would be moderate with value = (4+11)/2 = 7.5

Standard deviation = √ [(11-4)^2/(12*35] = 0.3415
Now
x to N (7.5, 0.3415)

(c) We have to find probability that the average of 35 numbers will be less than 7.9.

P(x < 7.9) = P(x < 7.9; 7.5; 0.3415)
Z = (7.9 -7.5)/0.3415
Z = 1.1713
P(x< 7.9)= P(Z < 1.1713)= 0.87932.

Thus, The required Distribution, selection and probability is X to U(4,11), x to N (7.5, 0.3415) and 0.87932 respectively.  

Learn more about probability here:

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