Question

What is the average rate of change of the population between 1930 and 1950? show your reasoning?

Answer 1

The average rate of change is: 0.25

Explanation:

Given

See attachment for graph

Required

The average rate of change between 1930 and 1950

Average rate of change (m) is calculated as:

`m = (f(b) - f(a))/(b - a)`

In this case,

`[a,b] = [1930,1950]`

So, we have:

`m = (f(1950) - f(1930))/(1950 - 1930)`

`m = (f(1950) - f(1930))/(20)`

From the attached graph;

`f(1950) = 45`

`f(1930) = 40`

So, we have:

`m = (45- 40)/(20)`

`m = (5)/(20)`

`m = 0.25`