Introduction to Linear Functions Answers

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Which table represents a linear function?

A
Option
B
Option
C
Option
D
Option
2
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The graph shows the increase in temperature over time in an oven.

Question illustration
A
The change in the y-values is 40 and the change in the x-values is 1.
B
The change in the y-values is 1 and the change in the x-values is 40.
C
The change in the y-values is 150 and the change in the x-values is 2.
D
The change in the y-values is 190 and the change in the x-values is 3.
3

The final cost of a sale item is determined by multiplying the price on the tag by 75%. Which best describes the function that represents the situation?

Question illustration
A
It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant.
B
It is linear because the function is continuous.
C
It is nonlinear because the final cost is determined by multiplying each price tag by 0.75.
D
It is nonlinear because the price tag and final cost columns do not have the same common difference.
4

Which pairs of variables have a linear relationship? Select two options.

A
side length and perimeter of 1 face
B
perimeter of 1 face and area of 1 face
C
surface area and volume
D
area of 1 face and surface area
E
side length and volume
5

The table shows the number of grapes eaten over several minutes.

Question illustration
A
15 grapes eaten per minute
B
15 minutes to eat each grape
C
60 grapes eaten per minute
D
60 minutes to eat each grape
6

Question text not available

Question illustration
A
a = 2
B
a = 3
C
a = 19
D
a = 35
7

The table shows the number of songs that were downloaded and the total cost for buying the songs.

Question illustration
A
2 songs for $1
B
$2 per song
C
4 songs for $1
D
$4 per song
8

Question text not available

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

Which functions have an additive rate of change of 3? Select two options.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
E
Option
Option E
10

The table shows the distance traveled over time while traveling at a constant speed.

Question illustration
A
minutes per meter
Option A
B
minutes per meter
Option B
C
900 meters per minute
D
1,200 meters per minute

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Introduction to Linear Functions Answers…