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22 August, 04:55

Bayside Insurance offers two health plans. Under plan A, Giselle

would have to pay the first $110 of her medical bills, plus 35% of

the rest. Under plan B, Giselle would pay the first $160, but only

20% of the rest. For what amount of medical bills will plan B save

Giselle money? Assume she has over $160 in bills.

A) Giselle would save with plan B if she had more than $___ in

bills.

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Answers (1)
  1. 22 August, 06:43
    0
    Step-by-step explanation:

    Let x represent the amount of medical bills that Giselle has to pay.

    Assume she has over $160 in bills,

    it means that

    x > 160

    Under plan A, Giselle would have to pay the first $110 of her medical bills, plus 35% of the rest. Therefore, she will have to pay for

    35/100 * (x - 110) = 0.35 (x - 110)

    Under plan B, Giselle would pay the first $160, but only 20% of the rest. Therefore, she will have to pay for

    20/100 * (x - 160) = 0.2 (x - 160)

    Therefore, the amount of medical bills that plan B will save is

    0.35 (x - 110) - 0.2 (x - 160) = 0.35x - 38.5 - 0.2x + 32

    0.15x + 6.5

    Substituting x = 160 into 0.15x + 6.5, it becomes

    0.15 * 160 + 6.5 = $30.5

    Total bills would be 160 + 30.5 = 190.5

    Therefore, Giselle would save $30.5 with plan B if she had more than $190.5 in bills.
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