Question

Find and describe the rate of change of the function.
Number of Cups of Coffee, 2
Amount of Money Left on Card ($). y
2
19
5
10
7
4
X
X
7
8
9X
4
5
6
1
2
3
0
(-)
The rate of change is -3 It represents a decrease in the amount on the gift card for every cup Nevaeh purchases.
Find and describe the initial value of the function.
>> The initial value is

Answer 1

The initial value is \$25.

Explanation: with slope -3 and, for example, the point (2, 19), solve 19 = -3(2) + b → b = 25. So the function is y = -3x + 25, and the initial value \$25 is the amount on the gift card when 0 cups have been purchased.