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KATRIN_1 [288]
3 years ago
7

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.
Mathematics
1 answer:
miss Akunina [59]3 years ago
5 0
Let the original bill be x, then the final bill after the charges been added are 1.2x+25, where 1.2 is the increase in the bill by 0.2 (100%+20% = 120% = 1.2)

The range of the original bill is 
200 < 1.2x+25 < 800, subtract each term by 25
175 < 1.2x < 775, divide each term by 1.2
145.83 < x < 645.83

Hence, the range of the original bill is between $145.83 and $645.83
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