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

increase by 15

Step-by-step 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.