A cold front: At 4 p.m. on a winter day, an arctic air mass moved from Kansas into Oklahoma, causing temperatures to plummet. The temperature T = T (h)in degrees Fahrenheit h hours after 4 p.m. in...

A cold front: At 4 p.m. on a winter day, an arctic air mass moved from Kansas into Oklahoma, causing temperatures to plummet. The temperature T = T (h)in degrees Fahrenheit h hours after 4 p.m. in Stillwater, Oklahoma, on that day is recorded in the following table.

a. Use functional notation to express the temperature in Stillwater at 5:30 p.m., and then estimate

its value.

b. What was the average rate of change per minute

in temperature between 5 p.m. and 6 p.m.? What

was the average decrease per minute over that

time interval?

c. Estimate the temperature at 5:12 p.m.

d. At about what time did the temperature reach

the freezing point? Explain your reasoning.