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The out-of-pocket costs to an employee for dental insurance and dental expenses for one year are as follows:
Premium, $4000; Deductible, $300; Co-payment, 17% (after the first $300 the employee has to pay). According to the plan outlined, total annual dental care costs, c, depends on the employee's dental expenses for that year. If x represents the total dental expenses of an employee's plan and x (more than or equal to)300, which of the following equations can be used to determine this employee's
total dental car costs for that year?

A: C = 4000 + 300 + .17 (x-300)
B: C = 4000 - 300 + .17 (x-300)
C: C = 4000 - 300 + .17x
D: C = 4000 + 300 + .17x

I chose "D". If that correct? If not, why?

  • math -

    The answer is A

    D means that you pay 300 + 17% of everything

    But, you only pay 17% of everything after the first 300.

    so, cost is premium + deductible + 17% of everything else (x-300)

  • math -

    Thank you so much for explaining it so well.

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