a business plan is centered around a circular area of distribution. the plan calls for the radius of the…

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? o a(r(y)) = 50πy² o a(r(y)) = 2,500πy² o a(r(y)) = 50πr² o a(r(y)) = 2,500πr²

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? o a(r(y)) = 50πy² o a(r(y)) = 2,500πy² o a(r(y)) = 50πr² o a(r(y)) = 2,500πr²

Answer

Answer:

A. $A(r(y)) = 2500\pi y^{2}$

Explanation:

Step1: Substitute $r(y)$ into $A(r)$

$A(r(y))=\pi(r(y))^{2}$

Step2: Replace $r(y)$ with $50y$

$A(r(y))=\pi(50y)^{2}$

Step3: Expand $(50y)^{2}$

$(50y)^{2}=50^{2}y^{2}=2500y^{2}$ So $A(r(y)) = 2500\pi y^{2}$