Question

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.

Answer 1

bill = 25 + 0.20*charges, so:

charges = 5*(bill-25), (1/0.2=5)

charges go from:

5*(200-25) = 875

to

5*(800-25) = 3875

Range is from $875 to $3875