Answer:
[tex]m=5[/tex]
Step-by-step explanation:
The average rate of change m of a function is calculated using the following formula
[tex]m=\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
In this case we look for the average exchange rate between [tex]x = 0[/tex] and [tex]x = 2[/tex].
Therefore we must find [tex]f(2)[/tex] and [tex]f(0)[/tex]
You can see in the graph that when [tex]x = 2[/tex] then [tex]y = 11[/tex]
therefore [tex]f(2) = 11[/tex]
You can see in the graph that when [tex]x = 0[/tex] then [tex]y = 1[/tex]
therefore [tex]f(0) = 1[/tex]
Finally
[tex]m=\frac{f(2)-f(0)}{2-0}[/tex]
[tex]m=\frac{11-1}{2-0}[/tex]
[tex]m=\frac{10}{2}[/tex]
[tex]m=5[/tex]
