SOLUTION: Bayside Insurance offers two health plans. Under plan A, Giselle would have to pay the first $180 of her medical bills, plus 40% of the rest. Under plan B, Giselle would pay the fi
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Question 325756: Bayside Insurance offers two health plans. Under plan A, Giselle would have to pay the first $180 of her medical bills, plus 40% of the rest. Under plan B, Giselle would pay the first $240, but only 25% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over $240 in bills.
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Bayside Insurance offers two health plans.
Under plan A, Giselle would have to pay the first $180 of her medical bills, plus 40% of the rest.
A = 180 + 0.4x where x is amount over 180
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Under plan B, Giselle would pay the first $240, but only 25% of the rest.
B(x) = 240 + 0.25x where x is amount over 240
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For what amount of medical bills will plan B save Giselle money?
Assume she has over $240 in bills.
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Solve: 240+0.25x < 180+0.4x
60 < 0.15x
x > $400
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Cheers,
Stan H.
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Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
represent the amount of the medical bills. Then she is either going to pay 
or 
. The total amount of medical bills that makes these two expressions equal is the break-even amount. Less than the break even, the 180/40 plan is best. More than the break-even, the 240/25 plan is best.
Solve for to find the break-even amount.
John
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