# Math Help - Average rate of change

1. ## Average rate of change

Question: "The population, P, of a small town after t years can be modelled by the function p(t)=0.5t^2+150t+1200, where t=0 represents the beginning of this year.

a) Write an expression for the average rate of change of the population from t=8 to t=8+h

b) Use the expression in part a) to determine the average rate of change of the population when h=2.

2. Originally Posted by Hellooo
Question: "The population, P, of a small town after t years can be modelled by the function p(t)=0.5t^2+150t+1200, where t=0 represents the beginning of this year.

a) Write an expression for the average rate of change of the population from t=8 to t=8+h

b) Use the expression in part a) to determine the average rate of change of the population when h=2.

The average rate of change between $a$ and $b$ is:

$\overline{R}=\frac{p(b)-p(a)}{b-a}$

CB