Question

A company charges $15 per hour plus a $20 setup fee to rent a bouncy house for 3 hours or less. They charge $12 per hour and no setup fee if the bouncy house is rented for more than 3 hours. Sketch a graph of the piecewise function that models this scenario. Use the graph to select the correct equation for the function where x
is the number of hours and y
is the total cost.(1 point)

1. y={15x+20, 0<x≤312x, x>3


2. y={15+20x, 0<x≤312, x>3


3. y={15x+20, 0<x<312x, x≥3


4. y={15+20, 0<x≤312, x>3

Answer 1

Option 1.

Explanation: For 0 < x ≤ 3 the cost is y = 15x + 20 (hourly $15 plus $20 setup). For x > 3 the cost is y = 12x (hourly $12, no setup). Note at x = 3 the cost is 15(3)+20 = $65 (the >3 rule does not apply at x = 3).