Let's assume m represent the mileage of the car.
Given that, Primo car rental agency charges $33 per day plus $0.20 per mile.
So, the total charge for this agency = 33 + 0.20m.
Similarly total charge of the ultimo car = 17 + 0.85m.
Now we need to find the daily mileage for which the ultimo charge is four times the primo charge . So, we can set up an equation as following:
17 + 0.85m = 4 *( 33 + 0.20m )
17 + 0.85m = 132 + 0.80m By distribution property.
17 + 0.85m -0.80m = 132 + 0.80m -0.80m Subtract 0.80m from each sides.
17 + 0.05m = 132
17 + 0.05m - 17 = 132 - 17 Subtract 17 from each sides.
0.05m = 115
Divide each by 0.05.
So, m = 2300
Hence, the daily mileage is 2300 miles.
Hope this helps you!