Question

Tyreke is an engineer and needs to design a rocket for an experiment. He has calculated that the height of the rocket, in feet, with respect to time, in seconds, can be modeled by the function h(t)=−16t2+160t
. Find the average rate of change of the rocket over the interval [4,5]
. (1 point)
The average rate of change is
feet per second.
Remaining Attempts : 3

Answer 1

Average rate of change = [h(5) − h(4)] / (5 − 4).

h(5) = −16(5)^2 + 160(5) = −400 + 800 = 400
h(4) = −16(4)^2 + 160(4) = −256 + 640 = 384

Average rate = (400 − 384) / 1 = 16 feet per second.