The function N (X) = 90 (0.86) * + 69 can be used to predict the temperature of a

cup of hot chocolate in degrees Fahrenheit after x minutes. What is the

approximate average rate of change of the temperature of the hot chocolate, in

degrees per minute, over the interval [0, 6]?

1.

-8.93

2.

-0.11

3.

0.11

4.

8.93

Answer: - 8.93

Step-by-step explanation:

Given the function:

N (X) = 90 (0.86) ^x + 69

X in the interval [0, 6]

For X = 0

N (0) = 90 (0.86) ^0 + 69

90 + 69 = 159

For X = 6

N (6) = 90 (0.86) ^6 + 69

90 (0.404567235136) + 69

= 105.41105116224

Therefore, average change of change in temperature;

(temp 2 - temp 1) / (time 2 - time)

(105.41105116224 - 159) / (6 - 0)

= - 53.58894883776 / 6

= - 8.93149147296

= - 8.93