AnswersGA-Algebra Concepts and Connections ALinear vs. Nonlinear Functions

Linear vs. Nonlinear Functions Answers

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1
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What is the rate of change for the height as the time increases by 1 minute?Rate of change =

Answer:

9.5

2
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Which statements did you include in your response? Check all that apply.

A
Use rise over run to determine the rate of change.
B
Rise is the change in the y coordinates.
C
Run is the change in the x coordinates.
D
A constant rate of change creates a straight line, so the graph is a linear function.
3

Which table shows a constant rate of change of –3?

A
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Option A
B
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Option B
C
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Option C
D
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Option D
4

Graph A displays a ✔ linear function; the rate of change is constant.linear function; the rate of change is not constant.nonlinear function; the rate of change is constant.nonlinear function; the rate of change is not constant.

A
linear function; the rate of change is constant.
B
linear function; the rate of change is not constant.
C
nonlinear function; the rate of change is constant.
D
nonlinear function; the rate of change is not constant.
5

Graph B displays a linear function; the rate of change is constant.linear function; the rate of change is not constant.nonlinear function; the rate of change is constant.✔ nonlinear function; the rate of change is not constant.

A
linear function; the rate of change is constant.
B
linear function; the rate of change is not constant.
C
nonlinear function; the rate of change is constant.
D
nonlinear function; the rate of change is not constant.
6

This graph displays a linear function. What is the rate of change?Rate of change =

Answer:

5

7

Which representations display nonlinear functions? Check all that apply.

A
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Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

Which graph displays a rate of change of 2.5?

A
Option
Option A
B
Option
Option B
C
Option
Option C
9

What can you conclude from her work? Check all that apply.

A
The scenario is represented by a linear function, since the rate of change is constant.
B
The scenario is represented by a nonlinear function, since the rate of change is constant.
C
The berries are picked at a constant rate of 53 per hour.
D
The berries are not picked at a constant rate.
10

Which situations represent linear functions? Check all that apply.

A
The temperature rises and falls over the course of a day. Temperature is a function of time.
B
A baseball is hit into the outfield. The height of the ball is a function of time.
C
A car goes 55 mph on the highway. Distance is a function of time.
D
A child grew 2 inches this year and 1 inch last year. Height is a function of time.
E
A movie director makes 2 movies per year. The number of movies is a function of the years.
11

Given a graph of a function, explain how to find the rate of change and how to determine whether it is a linear or nonlinear function.

Answer:

Answer

12

Question text not available

Answer:

Answer

13

Yes, it is a linear function because the rate of change is constant.The constant rate of change is .The table representing the number of quarters to dollars demonstrates a constant rate of 4 quarters to every 1 dollar.The graph representing the number of quarters to dollars is a straight line.

A
Yes, it is a linear function because the rate of change is constant.
B
The constant rate of change is .
C
The table representing the number of quarters to dollars demonstrates a constant rate of 4 quarters to every 1 dollar.
D
The graph representing the number of quarters to dollars is a straight line.

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