1. Functions

Modeling With Functions — Quiz

Test your understanding of modeling with functions with 5 practice questions.

Practice Questions

Question 1

A company’s cost function is modeled by $C(x) = 300 + 25x$, where $x$ is the number of units produced. What does the number 300 represent in this context?

Question 2

A function $f(t) = 2000 - 150t$ is used to model the value of a piece of equipment $t$ years after purchase. What does the -150 represent in this context?

Question 3

A function $f(x) = 2x^2 - 24x + 80$ models the cost of producing $x$ items. How many items should be produced to minimize the cost?

Question 4

A function $P(t) = 1000(1.06)^t$ models the population of a city after $t$ years. What does the 1000 represent in this context?

Question 5

A function $R(t) = 5000(0.95)^t$ models the revenue of a product over time $t$ in years. What does the 0.95 represent in this context?