Rate of Change Answers

Check each relation below that is a direct variation.

A direct variation function includes the ordered pair (4, 5). Which statement is true?

If y varies directly with x, and y is 14 when x is 2, what is the value of x when y is 35?x =

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Use the graph to answer the question.What is the average rate of change from x = 3 to x = 11?

The average rate of change from x = -2 to x = 6 for the function shown in the graph is –2✔ –1/21/22.

Calculate the average rate of change from x = −2 to x = 1 of the function below. f(x) = x2 + 5x − 12 First, find the change in y by evaluating the function at −2 and 1: f(−2) = f(1) = The change in y is .

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–24✔ 12–1624

Now find the change in x.

Now find the change in x.

–4–1/41/4✔ 4.

Choose the intervals where the graph has a decreasing average rate of change.

x = 0 and x = 5x = 1 and x = 5x = 2 and x = 4x = 2 and x = 6

Determine if this relationship forms a direct variation. Verify your answer.