The average rate of change from an interval from [tex]x_1[/tex] to [tex]x_2[/tex] is the change in the value of the function divided by the change in x.
[tex]\dfrac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
Let's find the values of [tex]f(x_1)[/tex] and [tex]f(x_2)[/tex]
[tex]f(x_1)=7(2)=14[/tex]
[tex]f(x_2)=7(0)=0[/tex]
Average rate of change [tex]=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
[tex]= \dfrac{14-0}{2-0}=\boxed{7}[/tex]
Your answer is 7. I hope this helps! :)
