Introduction to Linear Functions

Question 1

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

Revolt · Accepted Answer

As the amount of time continues, there are fewer cups of juice poured per hour.

Question 2

What did you include in your response? Check all that apply.

Revolt · Accepted Answer

A linear function has a constant additive rate of change.

Question 3

Red kangaroos can reach speeds up to 50 feet per second. Use the linear graph at the left to answer the questions. What is the change in y-values from Point A to Point B? ⇒ 50 What is the change in x-values from Point A to Point B? ⇒ 1 What is the rate of change of the linear function? feet per second

Revolt · Accepted Answer

⇒ 50: 100; ⇒ 1: 2; Part 3: 50

Question 4

Is the graphed function linear?

Revolt · Accepted Answer

No, because the curve indicates that the rate of change is not constant.

Question 5

Which table represents a linear function?

Revolt · Accepted Answer

Option D

Question 6

Which function has a constant additive rate of change of –1/4?

Revolt · Accepted Answer

[Image: A coordinate plane with a straight line with a neg...]

Question 7

Which statement about the scenario represented in the table is true? Assume time is the independent variable.

Revolt · Accepted Answer

The elevation is a nonlinear function because it does not have a constant rate of change.

Question 8

The distance, in feet, two boys travel per second on a treadmill is shown to the left. Which comparison is accurate?

Revolt · Accepted Answer

The difference in their rates of change is 1 foot per second.

Question 9

Which best describes the data set?

Revolt · Accepted Answer

It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change.

Question 10

Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed on the left. Who had a head start, and how big was the head start? ⇒ Ryan had a head start of ⇒ 10 meters.

Revolt · Accepted Answer

⇒ Ryan: Nina; ⇒ 10: 5

Introduction to Linear Functions Answers

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