NC.8.F.5 Exam Prep

A bathtub is being filled with water at a constant rate. Someone then turns off the faucet for a few minutes before turning it back on at a slower rate. Finally, the drain is opened, and the tub empties at a steady pace. Which graph best models the scenario?

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NC.8.F.5

What does the graph tell us about the delivery driver's trip?

• The driver made deliveries during segments 1 and 3.

• The driver stopped at two different locations.

• The driver sped up during segment 2.

• The driver was returning to the warehouse during segment 4.

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NC.8.F.5

Which of the following is true about the train's movement?

• The train was accelerating during segment 2.

• The train stopped at the end of segment 1.

• The train was decelerating during segment 3.

• The train traveled the greatest distance during segment 1.

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NC.8.F.5

A car starts from a standstill and gradually accelerates to a constant speed on a highway. It then encounters traffic and slows down, but keeps moving at a lower constant speed. Eventually, the car reaches its destination and stops. Draw a graph of the car's speed over time.

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NC.8.F.5

Based on the graph, what happened during the student's walk?

• The student walked fastest during segment 1.

• The student stopped to talk to a friend during segment 2..

• The student was returning home during segment 3.

• The student covered more distance in segment 2 than in segment 1.

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NC.8.F.5

• Liam rode his bike from his house to the park at a steady speed. He then stopped at the park for a while to play. After playing, he rode his bike back home, but took a different, longer route, so it took him more time, even though he maintained a similar steady speed. Which graph models Liam's walk?

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NC.8.F.5

Which graph shows a function that decreases, remains constant, and then increases?

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NC.8.F.5

An elevator starts on the ground floor and goes up to the 10th floor, stopping briefly at the 5th floor to let someone off. It then continues to the 10th floor, where it waits for a few minutes. Finally, it descends directly to the ground floor. Which graph best represents the situation?

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NC.8.F.5

Which statement best describes the function below between points R and S?

• The function is increasing and linear.

• The function is decreasing and linear.

• The function is increasing and nonlinear.

• The function is decreasing and nonlinear.

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NC.8.F.5

This shows a graph of a function. Which statements about the function are true?

• The function is increasing from x = −1 to x = 3.

• The function is decreasing from x = −5 to x = −1.

• The function is increasing from x = 3 to x = 8.

• The function has only one interval of increase.