Rates of Change in Applied Contexts other than Motion
Benjamin Wright
7 min read
Study Guide Overview
This study guide covers rates of change in applied contexts (non-motion) for AP Calculus AB/BC. It focuses on interpreting the meaning of a function and its derivative in real-world scenarios, including calculating and interpreting instantaneous rates of change with proper units. Practice problems and exam tips are provided, emphasizing the importance of units and showing work. Key exam topics include interpreting derivatives, understanding units, and applying derivatives to solve problems.
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Question 1 of 10
The function represents the volume of a balloon, in cubic centimeters, as a function of time in seconds. What does represent?
The rate of change of the volume of the balloon
The volume of the balloon at time
The surface area of the balloon at time t
The change in volume of the balloon over time