f(a)=72.06 and the average rate of change of ff over the interval from x=a to x=a+254 is 0.141. What is the value of f(a+254)? (Hint: think of the average rate of change as a constant rate of change.)f(a+254)=

fa7206 and the average rate of change of ff over the interval from xa to xa254 is 0141 What is the value of fa254 Hint think of the average rate of change as a class=

Respuesta :

You have the function:

f(x) = 5√x - 1

the average rate of change for the interval x=3 to x = 4.5 is:

m = (f(4.5) - f(3))/(4.5 -3)

f(4.5) = 5√(4.5) - 1 = 9.60

f(3) = 5√(3) - 1 = 7.66

m = (9.60 - 7.66)/(4.5 - 3)

m = 1.93/1.5

m = 1.3

The rate of change is 1.3