Question

on september 10 in midstate new hampshire, the temperature at 5 a.m. was 45°f. at 5 p.m., on the same day, the temperature was 81°f. find the average rate of change in temperature per hour

Explanation:

Step1: Calculate the time difference

From 5 A.M. to 5 P.M., the time difference is \(12\) hours.

Step2: Calculate the temperature difference

The temperature difference is \(81 - 45=36^{\circ}F\).

Step3: Calculate the average rate of change

The average rate of change formula is \(\frac{\text{Change in temperature}}{\text{Change in time}}\). So, \(\frac{36}{12}\).

Answer:

\(3^{\circ}F\) per hour