Question

A circular oil spill continues to increase in size. The radius of the oil spill, in miles, is given by the function r(t) = 0.5 + 2t, where t is the time in hours. The area of the circular region is given by the function A(r) = πr2, where r is the radius of the circle at time t. Explain how to write a composite function to find the area of the region at time t.

Answer 1

You would just put one function inside the other: A(t) =
π(0.5 + 2t)^2

Answer 2

Answer:

A(r(t)) = $\pi$ (0.5 + 2t)$^{2}$