Question

What is the average rate of change for this quadratic function for the interval from x=3 to x=4

Answer 1

Yea the correct answer is a

Answer 2

A. 27.5

Step-by-step explanation

The average rate of change of the given quadratic function on the interval;

x=2 to x=4 is the slope of the secant line connecting the points (2,f(2)) and (4,f(4)).

This implies that the average rate of change is

`= (f(4) - f(2))/(4 - 2)`

From the table,

`f(4) = 64`

and

f(2)=9.

The average rate of change becomes

`= \frac{64 - 9} {4 - 2}`

`= (55)/(2) = 27.5`

The correct choice is A.