Question

PLEASE HELP WILL MARK BRAINLIEST!
Erik solved the average rate of change of f(x) over the interval from x = 6 to x = 10 this way : (10 - 6)/(18 - 8) = 4/10 = 2/5 * X His answer is not correct though. Please complete parts a & b to earn full credit.
a. Explain exactly what erik did wrong in his work
b. Show your work to solve the average rate of change correctly

Answer 1

Answer:

He did the equation backward. He did $\frac{x_2-x_1}{f(x_2)-f(x_1)}$, which is wrong.

The actual equation for average rate of change is:

$\frac{f(x_2)-f(x_1)}{x_2-x_1} =$

$=\frac{18-8}{10-6}$

$=\frac{10}{4}$

$=\frac{5}{2}$

Answer 2

Answer:

Answers are below

Step-by-step explanation:

A) Erik did not use the correct points. When you use an x value, also use the f(x) value that goes with it. Erik chose random numbers to show the rate of change.

B) I chose two x values and the f(x) value that go with them. $\frac{10 - 7}{18 - 10}$ = $\frac{3}{8}$ is the rate of change.