If the volume of a cone is increasing at a constant rate, is the height also increasing at a constant rate?

Not constant

Step-by-step explanation:

We are supposed to find if the rate of increase of height is constant or not when the rate of increase of volume is constant.

Given object is cone , which has the volume height relation as

when we differentiate this equation ,

here we observe that though is constant the rate of change of height is dependent on r and h so its not constant.

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )