6
QuizMultiple Choice

Composition of Functions and Modeling — Quiz

Question 6 • Precalculus

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
cap c times t is equal to 2 pi t
B
cap c times t is equal to 8 pi t

Explanation

The radius grows at 4 centimeters per second, so after t seconds the radius is 4t centimeters. Using the circumference formula C = 2πr gives C = 2π(4t) = 8πt, matching choice B.

AI-written and checked against the verified answer.

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