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20 August, 16:56

A medical plan requires a patient to pay a $25.00 copay plus 20% of all charges incurred for a medical procedure. If the average bill for a patient is between $200 and $800, find the range of the original bill.

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  1. 20 August, 18:20
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    It is stated that the total bill the patient would only pay would be the $25 plus 20% of the original bill. Therefore this would mean that:

    25 + 0.2 * X = 200 - - - > 1

    25 + 0.2 * X = 800 - - - > 2

    Where X represents the original bill.

    Calculating for X in equation 1:

    25 + 0.2 * X = 200

    0.2 * X = 175

    X = 875

    Calculating for X in equation 2:

    25 + 0.2 * X = 800

    0.2 * X = 775

    X = 3875

    Therefore the original bill ranges from $875 to $3875. The equality equation would be:

    $875 ≥ X ≥ $3875
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