Answer
a. -3
b. Yes, they are the same
c. Function is linear, rate of change is -3
Work Step by Step
$f(x) = 8-3x$
a. Average Rate of change between x=0 and x=2, x=15 and x=50
Average Rate of Change (from x=0 to x=2): $\frac{f(2) - f(0)}{2-0} = \frac{2 - 8}{2} = -3$
Average Rate of Change (from x=15 to x=50): $\frac{f(50) - f(15)}{50-15} = \frac{-142 - (-37)}{35} = -3$
b. Yes they are the same
c. The function is linear as it is in the form of $y=mx+ b$
The rate of change is -3 (given from a)
