Answer:
The average rate of change is: 0.25
Step-by-step explanation:
Given
See attachment for graph
Required
The average rate of change between 1930 and 1950
Average rate of change (m) is calculated as:
[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]
In this case,
[tex][a,b] = [1930,1950][/tex]
So, we have:
[tex]m = \frac{f(1950) - f(1930)}{1950 - 1930}[/tex]
[tex]m = \frac{f(1950) - f(1930)}{20}[/tex]
From the attached graph;
[tex]f(1950) = 45[/tex]
[tex]f(1930) = 40[/tex]
So, we have:
[tex]m = \frac{45- 40}{20}[/tex]
[tex]m = \frac{5}{20}[/tex]
[tex]m = 0.25[/tex]