Average rate of change over an interval

Grade 9 Math Worksheet - Challenge Me

NameDate

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

  1. Read this first

    Use the table

    input h: hoursoutput km
    04
    210
    622
    730
  2. Zee's bike ride is in the table (km). Which interval has the greater average rate of change: from h = 0 to h = 6, or from h = 6 to h = 7?

    • From h = 6 to h = 7
    • From h = 0 to h = 6
    • The rates are the same
  3. Ari's plant height is in the table (cm). Which interval has the greater average rate of change: from w = 0 to w = 1, or from w = 1 to w = 5?

    • From w = 0 to w = 1
    • From w = 1 to w = 5
    • The rates are the same
  4. Bo fills a pool (liters in the table). Which interval has the greater average rate of change: from m = 1 to m = 7, or from m = 7 to m = 8?

    • The rates are the same
    • From m = 1 to m = 7
    • From m = 7 to m = 8
  5. Esme's bakery counts cookies sold in the table. Which interval has the greater average rate of change: from d = 2 to d = 3, or from d = 3 to d = 8?

    • From d = 3 to d = 8
    • The rates are the same
    • From d = 2 to d = 3
  6. Jun's plant is 7 cm tall at week 2. Its average rate of change from week 2 to week 5 is 4 cm per week. How tall is it at week 5?

  7. Luz's candle is 40 mm tall at hour 3. The average rate of change from hour 3 to hour 7 is −5 mm per hour. How tall is it at hour 7?

  8. Milo has $15 at week 2. The average rate of change from week 2 to week 6 is $3 per week. How much does Milo have at week 6?

  9. Use the table

    input m: minutesoutput height
    16
    322
    514
    711
    96
  10. Noah's kite rises, then sinks. The table shows its height in meters. What is the average rate of change from minute 1 to minute 9?

  11. Ren's ball bounces and lands. The table shows its height in dm. What is the average rate of change from minute 2 to minute 10?

  12. Tala's rocket dips and climbs. The table shows its height in meters. What is the average rate of change from minute 1 to minute 9?

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Average rate of change over an interval

Answer Key - Grade 9 Math Worksheet - Challenge Me

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

  1. Read this first

    Use the table

    input h: hoursoutput km
    04
    210
    622
    730
  2. Zee's bike ride is in the table (km). Which interval has the greater average rate of change: from h = 0 to h = 6, or from h = 6 to h = 7?

    • From h = 6 to h = 7
    • From h = 0 to h = 6
    • The rates are the same
  3. Ari's plant height is in the table (cm). Which interval has the greater average rate of change: from w = 0 to w = 1, or from w = 1 to w = 5?

    • From w = 0 to w = 1
    • From w = 1 to w = 5
    • The rates are the same
  4. Bo fills a pool (liters in the table). Which interval has the greater average rate of change: from m = 1 to m = 7, or from m = 7 to m = 8?

    • The rates are the same
    • From m = 1 to m = 7
    • From m = 7 to m = 8
  5. Esme's bakery counts cookies sold in the table. Which interval has the greater average rate of change: from d = 2 to d = 3, or from d = 3 to d = 8?

    • From d = 3 to d = 8
    • The rates are the same
    • From d = 2 to d = 3
  6. Jun's plant is 7 cm tall at week 2. Its average rate of change from week 2 to week 5 is 4 cm per week. How tall is it at week 5?

    19
  7. Luz's candle is 40 mm tall at hour 3. The average rate of change from hour 3 to hour 7 is −5 mm per hour. How tall is it at hour 7?

    20
  8. Milo has $15 at week 2. The average rate of change from week 2 to week 6 is $3 per week. How much does Milo have at week 6?

    27
  9. Use the table

    input m: minutesoutput height
    16
    322
    514
    711
    96
  10. Noah's kite rises, then sinks. The table shows its height in meters. What is the average rate of change from minute 1 to minute 9?

    0
  11. Ren's ball bounces and lands. The table shows its height in dm. What is the average rate of change from minute 2 to minute 10?

    -1
  12. Tala's rocket dips and climbs. The table shows its height in meters. What is the average rate of change from minute 1 to minute 9?

    2