3. Rational and Radical Functions
Applications And Modeling — Quiz
Test your understanding of applications and modeling with 5 practice questions.
Practice Questions
Question 1
A rectangular field has an area of $1200 \text{ square meters}$. If the length of the field is $x$ meters, which expression represents the width of the field?
Question 2
The time it takes to travel a certain distance is inversely proportional to the speed. If it takes $4$ hours to travel a distance at $60 \text{ mph}$, how long will it take to travel the same distance at $80 \text{ mph}$?
Question 3
The cost per person for a trip is inversely proportional to the number of people attending. If $10$ people attend, the cost per person is $50$. What is the cost per person if $20$ people attend?
Question 4
The formula for the volume of a cylinder is $V = \pi r^2 h$. If the volume $V$ and height $h$ are constant, which type of relationship exists between the radius $r$ and the height $h$?
Question 5
A swimming pool can be filled by one pipe in $10$ hours and by another pipe in $15$ hours. If both pipes are used together, which equation can be used to find the time $t$ it takes to fill the pool?