Practice

The table below shows the distance and time for the Pennington's family road trip. Use the table to answer questions 1 – 3.

Pennington Family Road Trip
Time (hours)
2
4
6
8
Distance (miles)
170
340
510
680
  1. What is the rate of change in the table?

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    Determine the ratio of the change in the dependent variable (distance) to the change in the independent variable (time). Close Pop Up

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    Rate of Change = change in y over change in x Change in y Change in x = 340 miles – 170 miles over 4 hours – 2 hours 340 miles – 170 miles 4 hours – 2 hours = 170 miles over 2 hours 170 miles 2 hours = 85 miles per hour Close Pop Up

  2. Describe the rate of change between the two variables.

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    Write a sentence relating the distance traveled to each hour driven. Close Pop Up

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    For each hour traveled, the distance increases by 85 miles. Close Pop Up

  3. Interactive exercise. Assistance may be required. Click on the graph below to plot the points from the table.

     

  4. How does the rate of change for the Williams family road trip compare to the rate of change for the Pennington family road trip?

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    Which of the two numbers is greater? Close Pop Up

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    Williams Family Road Trip

    Rate of Change = change in y over change in x Change in y Change in x = 340 miles – 170 miles over 4 hours – 2 hours 120 miles – 60 miles 2 hours – 1 hour = 170 miles over 2 hours 60 miles 1 hour = 60 miles per hour

    Pennington Family Road Trip

    Rate of Change = change in y over change in x Change in y Change in x = 340 miles – 170 miles over 4 hours – 2 hours 340 miles – 170 miles 4 hours – 2 hours = 170 miles over 2 hours 170 miles 2 hours = 85 miles per hour
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  5. How do the graphs of the Williams family road trip and the Pennington family road trip compare?

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    Graph both relationships on the same set of axes, and compare the two lines. Close Pop Up

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    Check Your Answer

    The graph of the data for the Pennington family road trip is steeper than the graph of the data for the Williams family road trip.
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