3. Rational Functions

Applications Rational — Quiz

Test your understanding of applications rational with 5 practice questions.

Practice Questions

Question 1

A car is traveling at a speed given by the rational function $v(t) = \frac{300}{t + 2}$, where $t$ is the time in hours. What is the speed of the car after 4 hours?

Question 2

A pipe fills a tank at a rate given by the rational function $R(t) = \frac{600}{t + 10}$, where $t$ is the time in minutes. What is the filling rate after 20 minutes?

Question 3

A company’s revenue is modeled by the rational function $R(x) = \frac{5000x}{x + 50}$, where $x$ is the number of units sold. What is the revenue when $x = 150$ units?

Question 4

A water tank is being filled, and the amount of water in the tank after $t$ minutes is given by $W(t) = \frac{800}{t + 4}$. What is the amount of water in the tank after 16 minutes?

Question 5

A printing press can print $P(n) = \frac{1200}{n + 3}$ pages per hour, where $n$ is the number of printers running. What is the printing rate when $n = 5$ printers are running?