Question 451894: Help with this word problem please!
Bayside Insurance offers two health plan A, Giselle would have to pay the first $70 of her medical bills, plus 35% of the rest. Under plan B, Giselle would pa 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 $? in bills.
(Round to the nearest whole number)
Thank you!!!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Bayside Insurance offers two health
plan A, Giselle would have to pay the first $70 of her medical bills, plus 35% of the rest.
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A(x) = 70 + 0.35(x-70)
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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: 200+0.20(x-200) < 70+0.35(x-70)
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200 + 0.20x-4 < 70 + 0.35x - 24.50
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196 + 0.20x < 45.5 + 0.35x
0.15x > 150.5
x > 1003 when rounded down to a whole number.
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Giselle would save with plan B if she had more than $1003 in bills.
(Rounded to the nearest whole number)
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Cheers,
Stan H.
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