Answer
a. $-3$, $-3$.
b. The Average rate of change is the same.
c. $m=-3$
Work Step by Step
$f(x)=8-3x$,
a.
at $x=0, f(0)=8$ and at $x=2, f(2)=2$,
thus, the Average rate of change is $\frac{f(2)-f(0)}{2-0}=-3$.
at $x=15, f(15)=-37$ and at $x=50, f(50)=-142$.
thus, the Average rate of change is $\frac{f(50)-f(15)}{50-15}=-3$.
b.
From (a) we can see that the average rate of change is the same.
c.
Since the $f(x)$ is a degree one function, the function is linear and from the linear function of the form $y=mx+b$, we can get an average rate of change $m$. thus, in this case $f(x)=8-3x$, we can get an average rate of change to be $m=-3$
