Introduction to Linear Functions

Question 1

Question 1

Revolt · Accepted Answer

A: The function is continuous.; C: The scenario is represented by a linear function, since the rate of change is constant.; D: As the amount of time continues, there are fewer cups of juice poured per hour.; E: For every additional hour, 53 cups of juice are poured.

Question 2

Is the graphed function linear?Yes, because each input value corresponds to exactly one output value.Yes, because the outputs increase as the inputs increase.No, because the graph is not continuous. No, because the curve indicates that the rate of change is not constant.

Revolt · Accepted Answer

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

Question 3

Which table represents a linear function?

Revolt · Accepted Answer

D: [Image: A two column table with five rows. The first colum...]

Question 4

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

Revolt · Accepted Answer

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

Question 5

Which statement about the scenario represented in the table is true? Assume time is the independent variable.The distance run is a nonlinear function because it does not have a constant rate of change. The elevation is a nonlinear function because it does not have a constant rate of change. Both the distance run and the elevation are nonlinear functions because they do not have constant rates of change.Both the distance run and the elevation are linear functions because they have a constant rate

Revolt · Accepted Answer

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

Question 6

The distance, in feet, two boys travel per second on a treadmill is shown to the left. Which comparison is accurate?Xavier is traveling at 1.5 feet per second. Moises is going faster than Xavier. The difference in their rates of change is 1 foot per second. If both boys remain on the treadmill for 10 minutes, Xavier will have traveled a greater distance.

Revolt · Accepted Answer

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

Question 7

Which best describes the data set?It is nonlinear because the “Total Houses Built” column does not increase at a constant additive rate.It is nonlinear because the “Months Passed” column does not increase at a constant additive rate. 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.It is linear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” sho

Revolt · Accepted Answer

C: 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 8

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?

Revolt · Accepted Answer

: Ryan; : 10

Question 9

[___] had a head start of [___] meters.

Revolt · Accepted Answer

Nina

Question 10

What is the difference between a linear function and a nonlinear function? Explain what each looks like when represented as a table and as a graph.

Revolt · Accepted Answer

Answer

Introduction to Linear Functions Answers

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