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.

Respuesta :

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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