A potato is placed in an oven, and the potatoAc€?cs temperature F (in degrees Fahrenheit) at various points in time is taken and recorded in the following table. Time t is measured in minutes.
| t |
f(t) |
| 0 |
70 |
| 15 |
180.5 |
| 30 |
251 |
| 45 |
296 |
| 60 |
324.5 |
| 75 |
342.8 |
| 90 |
354.5 |
a. Suppose it is given that F(64) = 330.28 and F0 (64) = 1.341. What are the units on these two quantities? What do you expect the temperature of the potato to be when t = 65? when t = 66? Why?
b. Write a couple of careful sentences that describe the behavior of the temperature of the potato on the time interval [0, 90], as well as the behavior of the instantaneous rate of change of the temperature of the potato on the same time interval.