Question

What is the average rate of change of f(x) = 5x - 7 using the interval from x = -3 to X= 7? A. 5B. 6C. 25D. 50

Answer 1

Apply the formula of Average rate of change:

`((f(b)-f(a))/(b-a)`

b=7

a=-3

f(b) = F(7) = 5(7)-7 = 35-7 = 28

f(a) = f(-3) = 5(-3) -7 = -15-7 = -22

Replacing:

`(28-(-22))/(7-(-3))=(28+22)/(7+3)=(50)/(10)\text{ = 5}`