Question

Which graph shows a rate of change of 1/2 which is a fraction between –4 and 0 on the x-axis?

Answer 1

it should be the one all the way on the right side because its rate of change goes up 1 and over 2

Answer 2

By definition, we have that the average rate of change is given by:

$AVR = \frac{y2-y1}{x2-x1}$

Substituting values we have:

$AVR = \frac{3-1}{0-(-4)}$

Rewriting we have:

$AVR = \frac{2}{0+4}$

$AVR = \frac{2}{4}$

$AVR = \frac{1}{2}$

Therefore, the graph that has an AVR of 1/2 is the graph of the linear function.

Answer:

graph shows a rate of change of 1/2 is the linear function