AP®︎ Calculus BC: Topic 4.5 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 4.5 of AP Calculus BC – Solving Related Rates Problems.


Questions List

Topic 4.5

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11

Question 1 Easy

An oil slick spreads in a circle on calm water. Its radius increases at 2 meters per minute. At what rate is the area of the slick changing when the radius is 12 meters?

A24π24\pi square meters per minute
B48π48\pi square meters per minute
C4π4\pi square meters per minute
D144π144\pi square meters per minute

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus BC Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.

Topic 4.5: Solving Related Rates Problems

Learning Objective: CHA-3.E

Interpret related rates in applied contexts.

Essential Knowledge: CHA-3.E.1

The derivative can be used to solve related rates problems; that is, finding a rate at which one quantity is changing by relating it to other quantities whose rates of change are known.