AnswersFL-1200370-Algebra 1-A Semester 1Recognizing Patterns

Introduction to Linear Functions Answers

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1
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Which table represents a linear function?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
2
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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
3

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.
4

Question text not available

Question illustration
A
a = 3
B
a = 8
C
a = 18
D
a = 33
5

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
6

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.
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

Which table represents a linear function?

A
Option
B
Option
C
Option
D
Option
9

Question text not available

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

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.
11

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
12

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
13

Question text not available

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
14

Which table represents a linear function?

A
Option
B
Option
C
Option
D
Option
15

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
16

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.
17

Question text not available

Question illustration
A
a = 2
B
a = 3
C
a = 19
D
a = 35
18

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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