Question

1. Find the average rate of change for each period of time. Show your reasoning.

a.
1987 and 1990
17
b. 1987 and 1993
c. 1987 and 1997
number of coffee shops
1,000
500
5
years since 1987
10

Answer 1

Explanation:

a. The average rate of change between 1987 and 1990 is calculated as follows:

Average rate of change = (Ending Value - Starting Value) / Time Interval

= (17 - 17) / (1990 - 1987)

= 0 / 3

= 0

b. The average rate of change between 1987 and 1993 is calculated as follows:

Average rate of change = (Ending Value - Starting Value) / Time Interval

= (500 - 17) / (1993 - 1987)

= 483 / 6

= 80.5

c. The average rate of change between 1987 and 1997 is calculated as follows:

Average rate of change = (Ending Value - Starting Value) / Time Interval

= (5 - 17) / (1997 - 1987)

= -12 / 10

= -1.2

Therefore, the average rate of change for each period of time is:

a. 0

b. 80.5

c. -1.2

Note: The units for the rate of change in (b) and (c) would be "number of coffee shops per year since 1987".