7
QuizMultiple Choice

Modeling Using Function Notation

Question 7 • FL-1200330-Algebra 2 A

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

Answer
A
A(r(y)) = 50πy2
B
A(r(y)) = 2,500πy2
C
A(r(y)) = 50πr2
D
A(r(y)) = 2,500πr2

Explanation

Substitute the radius after y years, r(y) = 50y, into the area formula A(r) = πr². This gives A(r(y)) = π(50y)² = 2,500πy². Therefore, choice B, 2,500πy², models the area based on years in business.

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