Question

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?

Answer 1

Answer:

The cell phone charges is an illustration of a piecewise function represented as: y = 20; x <=300 and y =  0.25x- 50; x > 300

How to draw the graph?

When the number of minutes is not more  than 300 minutes, the charge is:

y = 20; x <=300

When it is above 300, the function is:

y = 20 + 5 + (x - 300) * 0.25

Open the bracket

y = 20 + 5 + 0.25x - 75

Evaluate the sum

y =  0.25x- 50

So, the piecewise function is:

y = 20; x <=300

y =  0.25x- 50; x > 300

Step-by-step explanation: