The National Weather Service keeps track of the temperature for a given day in a given city. It also keeps track of this information at certain times during a given day. The following temperatures were recorded on a January day in New York City.

Time of Day
10 AM
12 Noon
2 PM
4 PM
6 PM
8 PM
10 PM
Temperature
30
35
36
36
34
30
28

Determine the average rate of change (including units and sign) of temperature with respect to time over the entire twelve-hour period given in the table.
a.
The average rate of change of temperature with respect to time over the entire 12-hour period is approximately -0.167 degrees per hour.
b.
The average rate of change of temperature with respect to time over the entire 12-hour period is approximately 0.167 degrees per hour.
c.
The average rate of change of temperature with respect to time over the entire 12-hour period is approximately -6 degrees per hour.
d.
The average rate of change of temperature with respect to time over the entire 12-hour period is approximately 6 degrees per hour.