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.

Respuesta :

Let the original bill be [tex]x[/tex], then the final bill after the charges been added are [tex]1.2x+25[/tex], where [tex]1.2[/tex] is the increase in the bill by 0.2 (100%+20% = 120% = 1.2)

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

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