Question

Haven's function h(t) describes the distance of an airplane from its destination, in miles, t minutes

after the plane takes off. If h(93) = 711 and h (97) = 663 , which of the following represents the average rate of change of Haven's function during the interval 93
A 1 mile per minute
B -4 miles per minute
C 12 minute per minute
D -12 miles per minute
E -48 miles per minute

Answer 1

The average rate of change of Haven's function from 93 to 97 minutes is -12 miles per minute, which means the airplane is approaching its destination at an average rate of 12 miles per minute.

Step-by-step explanation:

The student is asking about the average rate of change of Haven's function over the time interval from 93 to 97 minutes. To find this, we can use the values of Haven's function given at t = 93 and t = 97, which are h(93) = 711 miles and h(97) = 663 miles, respectively.

The average rate of change is calculated as the change in distance divided by the change in time. Therefore:

Average rate of change = (h(97) - h(93)) / (97 - 93) = (663 - 711) / (97 - 93) = (-48) / 4 = -12 miles per minute.

This indicates that the airplane is getting closer to its destination at an average rate of 12 miles per minute during this time interval.