An oil slick is expanding as a circle. The radius of the circle is currently 2.5 inches and is increasing at a rate of 6.5 inches per hour. Express the area of the circle, A as a function of h, the number of hours elapsed.

So we can express the radius in terms of the hours elapsed like this:

And the reason of this is because each hour the radius increase 6.5 inches, and if we replace in the formula of area we got:

And this function would represent the area of the circle as function of the hours elapsed,

Step-by-step explanation:

For this case we know the radius of a circle given and we also know the incresing rate for the radius:

And we want to express the are of the circle A as a function of h = the number of hours elapsed.

We know that the area of a circle is given by:

So we can express the radius in terms of the hours elapsed like this:

And the reason of this is because each hour the radius increase 6.5 inches, and if we replace in the formula of area we got:

And this function would represent the area of the circle as function of the hours elapsed,

the answer is true.

step-by-step explanation: