The number of people, F, at a playground after x min is given by F(x)= x^3+4t+20 . Determine the average rate of change of the number of people at the playground from 3 min to 4 min.

Question

The number of people, F, at a playground after x min is given by F(x)= x^3+4t+20

Determine the average rate of change of the number of people at the playground from 3

min to 4 min.

Answer 1

F(x) = x³ + 4x + 20

F(3) = (3)³ + 4(3) + 20 = 59 people

F(4) = (4)³ + 4(4) + 20 = 100 people

average = (F(4) - F(3)) / (4 - 3) = (100 - 59) / (4 - 3) = 41 / 1 = 41 people per minute