Question 424207: Bayside Insurance offers two health plans. Under plan A, Giselle would have to pay the first $180 of her medical bills, plus 30% of the rest. Under plan B, Giselle would pay the first $200, but only 20% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over $200 in bills.
Giselle would save with plan B if she had more than $540 in bills. Is this correct?
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 30% of the rest.
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A(x) = 180+0.30(x-180)
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Under plan B, Giselle would pay the first $200, but only 20% of the rest.
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B(x) = 200+0.20(x-200)
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For what amount of medical bills will plan B save Giselle money? Assume she has over $200 in bills.
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Solve B(x) < A(x)
200+0.2x-40 = 180+0.3x-54
160 + 0.2x = 126+0.3x
0.1x = 34
x = $340
Plan B saves money if bills are greater than $340
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Cheers,
Stan H.
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