Exploring Rational Functions: Real-Life Applications Quiz

A car travels a distance of 120 miles at a speed of x miles per hour. If the time taken is represented by the equation t = 120/x, how long will it take to travel if the speed is 30 mph?

• 4 hours

• 8 hours

• 2 hours

• 6 hours

A tank can be filled by two pipes. Pipe A can fill the tank in 4 hours, while Pipe B can fill it in 6 hours. If both pipes are opened together, how long will it take to fill the tank?

• 1.5 hours

• 5 hours

• 2.4 hours

• 3 hours

The cost of producing x items is given by the function C(x) = 500/x + 20. What is the cost of producing 10 items?

• 60

• 70

• 80

• 90

A rectangular garden has a length that is 3 meters longer than its width. If the area of the garden is 40 square meters, find the dimensions of the garden using a rational equation.

• Width: 5 meters, Length: 8 meters

• Width: 4 meters, Length: 7 meters

• Width: 6 meters, Length: 9 meters

• Width: 3 meters, Length: 6 meters

A recipe requires 2/3 cup of sugar for every 1/4 cup of flour. If you want to make a batch with 2 cups of flour, how much sugar will you need?

• 4 cups of sugar

• 3 cups of sugar

• 5 1/3 cups of sugar

• 6 cups of sugar

The height of a water tank is modeled by the function h(t) = 100/(t + 1), where t is the time in hours. What is the height of the water tank after 3 hours?

• 15

• 40

• 30

• 25

A company sells x units of a product for a price of p(x) = 50 - 2/x. What is the price per unit when 10 units are sold?

• 47.0

• 48.5

• 49.8

• 50.2

A cyclist travels a distance of 15 miles at a speed of 5 miles per hour. If the cyclist takes a break for 15 minutes, how long in total does the trip take?

• 4 hours

• 3.25 hours

• 2.5 hours

• 3 hours

The function f(x) = 3/(x - 2) represents the profit from selling x items. What is the profit when 5 items are sold?

• 1

• 2

• -1

• 0

A swimming pool is being filled at a rate of 10 gallons per minute. If the pool holds 500 gallons, how long will it take to fill the pool?

• 30 minutes

• 70 minutes

• 100 minutes

• 50 minutes