Answers Algebra 1 Saunders PD 2 Summer 2026Analyzing Graphs

Introduction to Linear Functions Answers

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

The function is continuous.

Time represents the dependent variable.

The scenario is represented by a linear function, since the rate of change is constant.

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

For every additional hour, 53 cups of juice are poured.

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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.

Which table represents a linear function?

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

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

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

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

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

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

[Image: A coordinate plane with a curved line passing thro...]

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

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 of change.

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.

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” shows a constant rate of change.

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?

Answers:

⇒ Ryan:Nina

⇒ 10:5

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

A linear function has a constant additive rate of change.

A nonlinear function does not have a constant additive rate of change.

The graph of a linear function is a straight line, while a nonlinear graph is curved.

The dependent variable in a linear table has a constant additive rate of change as the independent variable increases by 1.

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Red kangaroos can reach speeds up to 50 feet per second. Use the linear graph at the left to answer the questions.

Answers:

⇒ 50:100

⇒ 1:2

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