Answer:
c. 6
Step-by-step explanation:
Given
See attachment for graph
Required
Average rate of change
This is calculated as:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
Where
[tex](a,b) = (2,4)[/tex]
So, we have:
[tex]Rate = \frac{f(4) - f(2)}{4 - 2}[/tex]
[tex]Rate = \frac{f(4) - f(2)}{2}[/tex]
Using the attached graph, we have:
[tex]f(2) = 4[/tex]
[tex]f(4) = 16[/tex]
So, we have:
[tex]Rate = \frac{16- 4}{2}[/tex]
[tex]Rate = \frac{12}{2}[/tex]
[tex]Rate = 6[/tex]
