AnswersAISD Algebraic Reasoning A Credit Recovery 2026-2027Modeling Functions Using Finite Differences

Introduction to Linear Functions Answers

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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
2
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Which table represents a linear function?

A
Option
B
Option
C
Option
D
Option
3

A data set contains an independent and a dependent variable. Which must be true of the data set if a linear function can be used to represent the data?

A
The set must have a constant additive rate of change.
B
The set must have a constant multiplicative rate of change.
C
The values in the set must be positive.
D
The values in the set must be increasing.
4

Which table represents a linear function?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

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
6

Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver’s distance (miles) is shown for the same elapsed time (hours) of the trip. Who had a head start, and how many miles was the head start?

Question illustration
A
Rita had a 28-mile head start.
B
Roger had a 26-mile head start.
C
Roger had a 25-mile head start.
D
Rita had a 22-mile head start.
7

Which table represents a linear function?

A
Option
B
Option
C
Option
D
Option
8

Question text not available

Question illustration
A
a = 3
B
a = 8
C
a = 18
D
a = 33
9

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.
10

Elena agrees to finish a knitting project for a friend. The graph shows the number of rows Elena completes compared to the amount of time spent knitting.

Question illustration
A
12
B
14
C
15
D
19

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