AP®︎ Precalculus: Topic 1.14 Practice Test
Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 1.14 of AP Precalculus – Function Model Construction and Application.
Questions List
Topic 1.14
Question 1 Easy
A tank holds 600 liters of water when a valve is opened. Water drains from the tank at a constant rate of 15 liters per minute.
Which function gives the volume , in liters, minutes after the valve is opened, until the tank is empty?
What You’re Being Tested On:
Explore the learning objectives taken directly from the College Board’s AP® Precalculus 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 1.14: Function Model Construction and Application
Learning Objective: 1.14.A
Construct a linear, quadratic, cubic, quartic, polynomial of degree \(n\), or related piecewise-defined function model.
Essential Knowledge: 1.14.A.1
A model can be constructed based on restrictions identified in a mathematical or contextual scenario.
Essential Knowledge: 1.14.A.2
A model of a data set or a contextual scenario can be constructed using transformations of the parent function.
Essential Knowledge: 1.14.A.3
A model of a data set can be constructed using technology and regressions, including linear, quadratic, cubic, and quartic regressions.
Essential Knowledge: 1.14.A.4
A piecewise-defined function model can be constructed through a combination of modeling techniques.
Learning Objective: 1.14.B
Construct a rational function model based on a context.
Essential Knowledge: 1.14.B.1
Data sets and aspects of contextual scenarios involving quantities that are inversely proportional can often be modeled by rational functions. For example, the magnitudes of both gravitational force and electromagnetic force between objects are inversely proportional to the objects’ squared distance.
Learning Objective: 1.14.C
Apply a function model to answer questions about a data set or contextual scenario.
Essential Knowledge: 1.14.C.1
A model can be used to draw conclusions about the modeled data set or contextual scenario, including answering key questions and predicting values, rates of change, average rates of change, and changing rates of change. Appropriate units of measure should be extracted or inferred from the given context.
