Question

A function h(x)=-5/7x-3. By how much h(x) will decrease/increase, if x decreases by 21.

Answer 1

increase by 15

Explanation:

We know the rate of change of h(x) is given by the coefficient of x, -5/7. This means any change in x will be reflected as a change in h(x) by -5/7 times the amount of the change.

Here, we're talking about a change in x of -21, so the change in h(x) will be ...

(-5/7)·(-21) = 5·(21/7) = 15

The positive sign means the value of h(x) will increase by 15.