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 = (y2-y1)/(x2-x1)`

Substituting values we have:

`AVR = (3-1)/(0-(-4))`

Rewriting we have:

`AVR = (2)/(0+4)`

`AVR = (2)/(4)`

`AVR = (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