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

AP Calculus ABeasymcq1 pt

The height of a tree $t$ years after it is planted is $H(t)$ meters, and $H'(30)=0.8$ . Which statement best interprets $H'(30)=0.8$ ?

A.The tree is

0.8

meters tall 30 years after planting.

B.30 years after planting, the tree's height is increasing at a rate of

0.8

meters per year.

C.The tree grows exactly

0.8

meters during year 30.

D.The tree grows at

0.8

meters per year for every year.

Explanation

Core Concept

The derivative gives the instantaneous rate of change of height with respect to time. At $t=30$ , that rate is $0.8$ meters per year.

Correct Answer

B30 years after planting, the tree's height is increasing at a rate of $0.8$ meters per year.

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