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

AP Calculus ABeasymcq1 pt

The population of a town $t$ years after 2020 is $P(t)$ people, and $P'(5)=400$ . Which statement best interprets this?

A.The population in 2025 was 400 people.

B.The population grew by 400 people from 2020 to 2025.

C.In 2025, the population was increasing at a rate of 400 people per year.

D.The population will grow by exactly 400 people during 2026.

Explanation

Core Concept

$t=5$ corresponds to the year 2025. The derivative gives the instantaneous rate of change of the population at that time.

Correct Answer

CIn 2025, the population was increasing at a rate of 400 people per year.

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