AP Calculus ABhardmcq1 pt

A candle burns so that its length after tt hours is L(t)=152t0.25t2L(t)=15-2t-0.25t^2 inches. How fast is the candle burning, in inches per hour, at t=4t=4 hours?

A.33 inches/hour
B.22 inches/hour
C.44 inches/hour
D.0.50.5 inches/hour

Explanation

Core Concept

The burning rate is the magnitude of L(t)=20.5tL'(t)=-2-0.5t. At t=4t=4, L(4)=4L'(4)=-4, so the candle burns at 4 inches per hour.

Correct Answer

C44 inches/hour

More Unit 4: Contextual Applications of Differentiation practice questions

Try a random question →

Practice more AP Calculus AB questions with full explanations

Practice Unit 4: Contextual Applications of Differentiation Questions →