Find the average rate of change of P at t = 2 and t = 6?

Question

Under a set of controlled laboratory conditions, the size of the population P of a certain bacteria culture

at time t (in seconds) is given by the function

P(t) = 3t² + 3e^t + 10, t ≥ 0

Answer 1

The average rate of change of a function is defined as the total change of the function values (output) divided by the change in the input values.

So the average rate of change would be:

R=(P(6)-P(2))/(6-2)