AP®︎ Calculus AB: Topic 7.8 Practice Test
Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 7.8 of AP Calculus AB – Exponential Models with Differential Equations.
Questions List
Topic 7.8
Question 1 Easy
The number of bacteria in a culture grows at a rate proportional to the number of bacteria present, where is measured in hours. Which differential equation models this growth, where is a positive constant?
What You’re Being Tested On:
Explore the learning objectives taken directly from the College Board’s AP® Calculus AB 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 7.8: Exponential Models with Differential Equations
Learning Objective: FUN-7.F
Interpret the meaning of a differential equation and its variables in context.
Essential Knowledge: FUN-7.F.1
Specific applications of finding general and particular solutions to differential equations include motion along a line and exponential growth and decay.
Essential Knowledge: FUN-7.F.2
The model for exponential growth and decay that arises from the statement “The rate of change of a quantity is proportional to the size of the quantity” is dy/dt = ky.
Learning Objective: FUN-7.G
Determine general and particular solutions for problems involving differential equations in context.
Essential Knowledge: FUN-7.G.1
The exponential growth and decay model, dy/dt = ky, with initial condition y = y0 when t = 0, has solutions of the form y = y0 e^{kt}.
