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You are choosing between two different cell phone plans. The first plan charges a rate of 10 cents per minute. The second plan charges a monthly fee of $40, plus two cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable? To solve this problem were going to set up a system of equations and then solve the system. We first need to assign our variables. So the two unknowns are the monthly cost and the second unknown is the number of minutes per month. Lets let C equal the monthly cost in dollars. And well let M equal the number of monthly minutes. So the first plan is a flat charge of 10 cents per minute. So this would give us the equation C is equal to 10 cents in dollars would be 0.10 and then times the number of minutes so times M. The second plan has a monthly fee of $40, plus two cents per minute. So the monthly cost would be $40 plus two cents in dollars would be 0.02 times M, the number of minutes. So if you determine
