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 m: minutes	output liters
   1	5
   7	29
   8	41
   9	46

2. 1.

   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?

   • From m = 7 to m = 8
   • From m = 1 to m = 7
   • The rates are the same
3. 2.

   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?

   • The rates are the same
   • From d = 2 to d = 3
   • From d = 3 to d = 8
4. 3.

   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
5. 4.

   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. 5.

   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. 6.

   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: minutes	output height
   1	6
   3	22
   5	14
   7	11
   9	6

9. 7.

   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. 8.

    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. 9.

    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. 10.

    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