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AP Calculus AB 4.5 Related Rates Review

Review AP Calculus AB 4.5 by defining related quantities, differentiating an equation with respect to time, and checking the final rate against the context.

Syllabus
Effective Fall 2025
Course
AP Calculus AB

Exam points

  • define related quantities and differentiate their relationship with respect to time
  • interpret a related rate with correct sign and units in context

Covered syllabus points

CHA-3.E—Interpret related rates in applied contexts

4.5 Solving Related Rates Problems question 1

[Maximum number: 1]

A person whose height is 6 feet is walking away from the base of a streetlight along a straight path at a rate of 4 feet per second. If the height of the streetlight is 15 feet, what is the rate at which the person's shadow is lengthening?

A

5 ft/sec

B

667 ft/sec

C

75 ft/sec

D

6 ft/sec

E

10 ft/sec

All question bank results loaded