Piecewise Defined Functions Answers

A rental car company charges a base fee of $40 plus $0.25 per mile for the first 100 miles the car is driven. The company charges the same base fee plus a reduced price of $0.18 per mile for cars driven over 100 miles. The piecewise function below represents the different amounts the company charges. If someone drives their rental car 150 miles, how much will they owe the rental company?

After a heavy rainstorm, Barbara’s dog left muddy paw prints all over her back patio. She decided to rent an electric pressure washer to clean up the mess. The piecewise function below shows the rental charges for the pressure washer, dependent upon how many hours she rents it. Due to high demand, you cannot rent the washer for more than 24 hours at a time. Barbara’s brother asked to use the washer and agreed to pay Barbara for any additional monies owed. If Barbara used the washer for 3 hours and her brother returned it to the store 7 hours after she rented it, how much does her brother owe her?

A local screen-printing company sells T-shirts at various prices, in dollars, depending upon how many T-shirts are bought at the time. The piecewise function below represents their pricing structure, where n is the number of T-shirts purchased. The school volleyball team purchased 20 shirts. How much did the volleyball team spend on shirts?

Plan A Tax Rates

Which of the functions graphed below is continuous?

The piecewise defined function f(x) is graphed below. What is the value of f(2)?

A store offers discounts on lunch-size chip bags when buying larger quantities. The graph below represents the total cost, in dollars, for the number of bags purchased. What is the difference in the price per bag for 150 bags versus 50 bags?

A cell phone company charges by the minute (and partial minute) for making phone calls. Arionna’s plan includes 300 minutes in the $20 monthly base cost. If she uses more than 300 minutes in a month, there is a $5 overage fee and an additional charge of $0.25 per minute. Which graph represents the monthly cost, y, in dollars for making x minutes of calls?

Which rule describes the function in the graph below?

What is the domain of the function graphed below?