Worksheet

Average rate of change over an interval

Grade 9 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

  1. Read this first

    Use the table

    input m: minutesoutput dollars
    03
    29
    415
    624
    839

  2. Ren's taxi ride gets pricier. The table shows the fare in dollars. What is the average rate of change from 2 to 8?

  3. Ari's tree grows, a little faster each month. The table shows its height in cm. What is the average rate of change from 3 to 12?

  4. Bo's game score is f(x) = x² + 2x after x rounds. What is the average rate of change from 1 to 4?

  5. Esme's bakery sells f(x) = 2x² + x cookies on day x. What is the average rate of change from 1 to 3?

  6. Kira's robot builds f(x) = x² + 5 blocks in x minutes. What is the average rate of change from 2 to 6?

  7. Luz's kite climbs and dips. The graph shows its height in meters. What is the average rate of change from x = 3 to x = 7?

  8. Milo's swing slows down. The graph shows its height in cm. What is the average rate of change from x = 2 to x = 6?

  9. Pia's plant has an average rate of change in height of 3 cm per week from week 2 to week 6. Which sentence is right?

    • The plant is 3 cm tall at week 6
    • The plant grew 3 cm in total from week 2 to week 6, over the whole stretch
    • On average, the plant grew 3 cm each week from week 2 to week 6

  10. Ren's bike has an average rate of change in distance of 12 km per hour from hour 1 to hour 5. Which sentence is right?

    • The bike went 12 km in total from hour 1 to hour 5, adding up the whole trip
    • The bike is 12 km from home at hour 5
    • On average, the bike went 12 km each hour from hour 1 to hour 5

  11. Tala's savings have an average rate of change of $5 per week from week 0 to week 8. Which sentence is right?

    • On average, the savings grew $5 each week from week 0 to week 8
    • The savings grew $5 in total from week 0 to week 8
    • The savings are $5 at week 8
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Average rate of change over an interval

Answer Key - Grade 9 Math Worksheet

Circle the best answer, or write your answer on the line.

  1. Read this first

    Use the table

    input m: minutesoutput dollars
    03
    29
    415
    624
    839

  2. Ren's taxi ride gets pricier. The table shows the fare in dollars. What is the average rate of change from 2 to 8?

    5

  3. Ari's tree grows, a little faster each month. The table shows its height in cm. What is the average rate of change from 3 to 12?

    7

  4. Bo's game score is f(x) = x² + 2x after x rounds. What is the average rate of change from 1 to 4?

    7

  5. Esme's bakery sells f(x) = 2x² + x cookies on day x. What is the average rate of change from 1 to 3?

    9

  6. Kira's robot builds f(x) = x² + 5 blocks in x minutes. What is the average rate of change from 2 to 6?

    8

  7. Luz's kite climbs and dips. The graph shows its height in meters. What is the average rate of change from x = 3 to x = 7?

    3

  8. Milo's swing slows down. The graph shows its height in cm. What is the average rate of change from x = 2 to x = 6?

    -3

  9. Pia's plant has an average rate of change in height of 3 cm per week from week 2 to week 6. Which sentence is right?

    • The plant is 3 cm tall at week 6
    • The plant grew 3 cm in total from week 2 to week 6, over the whole stretch
    • On average, the plant grew 3 cm each week from week 2 to week 6

  10. Ren's bike has an average rate of change in distance of 12 km per hour from hour 1 to hour 5. Which sentence is right?

    • The bike went 12 km in total from hour 1 to hour 5, adding up the whole trip
    • The bike is 12 km from home at hour 5
    • On average, the bike went 12 km each hour from hour 1 to hour 5

  11. Tala's savings have an average rate of change of $5 per week from week 0 to week 8. Which sentence is right?

    • On average, the savings grew $5 each week from week 0 to week 8
    • The savings grew $5 in total from week 0 to week 8
    • The savings are $5 at week 8