Apentix/AP Calculus AB/Unit 4: Contextual Applications of Differentiation/Question

AP Calculus ABeasymcq1 pt

The temperature of a cup of coffee $t$ minutes after brewing is $T(t)$ degrees Fahrenheit, and $T'(10)=-2$ . Which statement best interprets this?

A.Ten minutes after brewing, the temperature is increasing at

2

degrees Fahrenheit per minute.

B.Ten minutes after brewing, the temperature is

-2

degrees Fahrenheit.

C.Ten minutes after brewing, the temperature is decreasing at a rate of

2

degrees Fahrenheit per minute.

D.The temperature drops

2

degrees Fahrenheit every minute for all

t

.

Explanation

Core Concept

The negative derivative means the temperature is falling. At $t=10$ , the rate of decrease is 2 degrees Fahrenheit per minute.

Correct Answer

CTen minutes after brewing, the temperature is decreasing at a rate of $2$ degrees Fahrenheit per minute.

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