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 w: weeksoutput cm
    03
    112
    320
    528
  2. 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 = 1 to w = 5
    • From w = 0 to w = 1
    • The rates are the same
  3. 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
  4. 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 = 2 to d = 3
    • From d = 3 to d = 8
    • The rates are the same
  5. Kira is 10 km from the start at hour 1. The average rate of change from hour 1 to hour 4 is 6 km per hour. How far is Kira at hour 4?

  6. 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?

  7. 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?

  8. Use the table

    input m: minutesoutput height
    16
    322
    514
    711
    96
  9. 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?

  10. Pia's swing climbs, then settles. The table shows its height in dm. 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 w: weeksoutput cm
    03
    112
    320
    528
  2. 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 = 1 to w = 5
    • From w = 0 to w = 1
    • The rates are the same
  3. 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
  4. 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 = 2 to d = 3
    • From d = 3 to d = 8
    • The rates are the same
  5. Kira is 10 km from the start at hour 1. The average rate of change from hour 1 to hour 4 is 6 km per hour. How far is Kira at hour 4?

    28
  6. 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
  7. 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
  8. Use the table

    input m: minutesoutput height
    16
    322
    514
    711
    96
  9. 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
  10. Pia's swing climbs, then settles. The table shows its height in dm. 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