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7 September, 10:33

Which statement describes the rate of change of the following function?

f (x) = - 6x - 7

A.

The function has a varying rate of change when x < 7.

B.

The function has a constant rate of change, decreasing for all x at a rate of 6.

C.

The function has a varying rate of change when x < 6.

D.

The function has a constant rate of change, decreasing for all x at a rate of 7.

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  1. 7 September, 10:51
    0
    The correct answer is B. The function has a constant rate of change, decreasing for all x at a rate of 6.

    In order to find the rate of change, we have to identify the slope. The slope is always the coefficient of x when in slope intercept form. In this case it is - 6, which means it decreases at a rate of 6.
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