SOLUTION: Josel buys cell-phone services from a company that charges a minimum of $20 per month. For that $20, he is allowed 100 minutes of free calls. For any calls above 100 minutes, he

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Question 1196026: Josel buys cell-phone services from a company that charges a minimum of $20 per
month. For that $20, he is allowed 100 minutes of free calls. For any calls above
100 minutes, he pays 50 cents per additional minute. Sketch a graph that describes
Josel’s monthly bill as a function of total time. Clearly label your graph.
Found 2 solutions by Theo, MathTherapy:
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
the equation would be y = 20 + .5 * (x - 100) for x > 100
with x = 100, the cost is 20.
with x = 200, the cost is 20 + .5 * 100 = 70.
here's my sketch of the graph.
y is the total cost per month.
x is the number of minutes used per month.
any minutes over 100 will kick in the incremental cost of 50 cents a minute on top of the 20 dollars for the first 100 minutes.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Josel buys cell-phone services from a company that charges a minimum of $20 per
month. For that $20, he is allowed 100 minutes of free calls. For any calls above
100 minutes, he pays 50 cents per additional minute. Sketch a graph that describes
C(m) = .5(m - 100) + 20, with m ≥ 100

C(m) = .5m - 50 + 20, with m ≥ 100

Correct equation: , with m ≥ 100

Changing the equation's variables for graphing. we get:

                    , with, m ≥ 100 ------ Replacing cost, based on minutes, or C(m), with y, and m (minutes) with x.

                    Now, YOU do the graphing. 

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