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

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

Verified Answer :

Huntress99

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

carlosego

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

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