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The total cost for the car per day as follows:
Total cost per day = cost for daily rental + mileage cost.
Given that the daily rental is 37
The cost per mile is 20 cents.
Total cost should be within a budget of $95
Let the number of mileage be x.
==> 95 = 37 + 0.20*x
==> Now we will solve for x.
==> 0.2x = 95-37
==> 0.2x = 58
==> x = 58/0.2 = 290
Then the mileage allowed daily is 290 miles per day.
Cost per day = $37
Cost rental per mile = $0.2
Budget = $95
To get the maximum ot of the allowed budget
The total cost per day = Budget
Cost of Rental + Cost per day = Budget
Let "x" be the milage allowed
0.2x + 37 = 95
0.2x = 95-37
0.2x = 58
x = 48/0.2 = 290
The milage allowed to stay in budget = 290
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