Chapter 1.2, Problem 10E

Reminder Round all answers to two decimal places unless otherwise indicated.

A Cold Front At $4\text{ P}\text{.M}.$ on a winter day, an arctic air mass moved from Kansas into Oklahoma, causing temperatures to plummet. The temperature $T=T\left(h\right)$ in degrees Fahrenheit $h$ hours after $4\text{ P}\text{.M}.$ in Stillwater, Oklahoma, on that day is recorded in the following table.

$\begin{array}{c}h=Hours\\ since4P.M.\end{array}$	$T=Temperature$
$0$	$62$
$1$	$59$
$2$	$38$
$3$	$26$
$4$	$22$

a. Use functional notation to express the temperature in Stillwater at $\text{5:30 P}\text{.M}.$, and then estimate its value.

b. What was the average rate of change per minute in temperature between $\text{5}\text{P}\text{.M}.$ and $6\text{P}\text{.M}.$? What was the average decrease per minute over that time interval?

c. Estimate the temperature at $\text{5:12 P}\text{.M}.$

d. At about what time did the temperature reach the freezing point? Explain your reasoning.