9
QuizMultiple Choice

Composition of Functions and Modeling

Question 9 • GA-GSE Pre-Calculus

A marble dropped in still water will create circular ripples or waves. The radius of each circular wave will increase 4 centimeters per second. What is the circumference of the circle after t seconds?

Answer
A
C(t) = πt2
B
C(t) = 2πt
C
C(t) = 8πt
D
C(t) = 16πt2

Explanation

The radius grows at 4 centimeters per second, so after t seconds the radius is r = 4t centimeters. Circumference is C = 2πr, so C(t) = 2π(4t) = 8πt centimeters. Therefore, the correct choice is C, C(t) = 8πt.

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