Piecewise Defined Functions Answers

Which rules define the function graphed below?

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?

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?

What is the domain of the function graphed below?

The graph below shows the altitude, in feet, of a model rocket t seconds after launch. During this time, the rocket experiences three distinct modes of flight. Initially, the engine accelerates the rocket upward. The rocket then coasts upward, is slowed by gravity, and eventually begins to fall. Last, a parachute opens and the rocket drifts smoothly back to the ground. When was the model rocket 600 feet above the ground?

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?

A country is considering two income tax rates. Geoffrey is comparing what his tax bill would be under each plan. Under plan A, he pays 5% on the first $10,000. The next $85,000 is taxed at a rate of 10%. Any money earned above $95,000 is taxed at 15%. He made $98,000 last year. Which statement below is correct? Plan A Tax Rates x $10,0005%$10,000 x $95,00010%x > $95,00015%Plan B Tax RatesAll levels of income 10%

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

Which of the functions graphed below has a removable discontinuity?

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?