Question

A telephone company offers a monthly cellular phone plan for $20.00. It includes 350 free minutes plus $0.25 per minute for additional minutes. Simplify the expression in the second line of the piecewise function and use point-plotting to graph the function.

Answer 1

Step-by-step explanation:

The expression for the monthly cost of the cellular phone plan can be simplified :

Let "x" represent the number of additional minutes used beyond the 350 free minutes.

Monthly Cost = $20.00 (base cost) + $0.25 (cost per additional minute) * x (number of additional minutes)

So, the expression for the monthly cost is:

Monthly Cost = $20.00 + $0.25x

Now, let's graph this function using point-plotting. We can choose a few values for "x" to calculate the corresponding costs and plot those points on a graph:

- When x = 0 (no additional minutes used), Monthly Cost = $20.00

- When x = 100, Monthly Cost = $20.00 + $0.25 * 100 = $45.00

- When x = 200, Monthly Cost = $20.00 + $0.25 * 200 = $70.00

Now, you can plot these points on a graph with "x" on the horizontal axis and the Monthly Cost on the vertical axis. Connect the points with a straight line to represent the piecewise function.