The table below shows the linear function f.
x: -6,-5,-4,-3,-2
f(x): 22,19,16,13,10
determine the average rate of change of the given function over an interval [-5, -2].
a. -1/3
b.1/3
c.-3
d.3

The correct choice is C.

Step-by-step explanation:

The average rate of change of the given function over the interval [-5,-2] is the slope of the secant line connecting;

and

This implies that the average rate of change over [-5,-2]

From the table; f(-2)=10 and f(-5)=19

We substitute and simplify to obtain;

Average rate of change

The answer is B. Fabiana has completed the same amount of the course as Samantha because 6/15=8/20. Both fractions reduce to 2/5. Therefore, they are equivalent.