Question 778484: You just purchased a cellular phone and are trying to decide the best cellular phone company in which to give your business. When you contacted the Talks-A-Lot company, they were offering a monthly of $40 for 500 minutes and $0.25 for each minute over the 500 minutes. In the sunday paper you see an ad for ChatAway company, which offers a monthly plan of $35 for 500 minutes and. $0.30 for each minute over the 500 minutes. How many minutes would you have to talk over the 500 minutes for the cost to be the same with both companies? What would be the equal cost?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! When you contacted the Talks-A-Lot company, they were offering a monthly of $40 for 500 minutes and $0.25 for each minute over the 500 minutes.
A(x) = 40 + 0.25(x-500)
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In the sunday paper you see an ad for ChatAway company, which offers a monthly plan of $35 for 500 minutes and. $0.30 for each minute over the 500 minutes.
C(x) = 35 + 0.30(x-500)
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How many minutes would you have to talk over the 500 minutes for the cost to be the same with both companies? What would be the equal cost?
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Solve for "x":
40+0.25(x-500) = 35+030(x-500)
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5 = 0.05(x-500)
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100 = x-500
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x = 600 minutes is the break-even # of minutes.
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A(600) = 40+0.25(600-500)
A(600) = 40+25 = $65
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Cheers,
Stan H.
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