A business plan is centered around a circular area of distribution. The plan calls for the radius of the distribution to increase 50 miles per year. The investors have asked that the plan include a reference to the area of distribution based on the number of years in business. These functions model this plan:

Radius in y years: r(y) = 50y

Total area: A(r) = πr2; r in miles



What is A(r(y)), the total area in y years?

A(r(y)) = 50πy2
A(r(y)) = 2,500πy2
A(r(y)) = 50πr2
A(r(y)) = 2,500πr2