Answers2026-2027 Florida Advanced Course and Test FACT College Algebra - Teacher Directed ResourcesIntroduction to Linear Functions

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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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
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 table represents a linear function?

A
Option
B
Option
C
Option
D
Option
5

Question text not available

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

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
7

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.
8

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
9

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.
10

Megan and Suzanne each have a plant. They track the growth of their plants for four weeks. Whose plant grew at a faster rate, and what was the rate?

Question illustration
A
Suzanne’s at 2 inches per week
B
Suzanne’s at 1.5 inches per week
C
Megan’s at 3 inches per week
D
Megan’s at 2.5 inches per week

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