Question

Primo car rental agency charges ​$41 per day plus ​$0.20 per mile. Ultimo car rental agency charges ​$23 per day plus ​$0.80 per mile. Find the daily mileage for which the Ultimo charge is the Primo charge.

Answer 1

when the daily mileage is 30 miles, the Ultimo charge will be the same as the Primo charge.

Explanation:

Let's denote the daily mileage as "x" (in miles). The total cost for each rental agency can be calculated as follows:

Primo Car Rental: Total Cost = $41 (daily rate) + $0.20 (per mile rate) * x (daily mileage)

Ultimo Car Rental: Total Cost = $23 (daily rate) + $0.80 (per mile rate) * x (daily mileage)

We want to find the daily mileage for which the Ultimo charge is the same as the Primo charge:

$23 + $0.80x = $41 + $0.20x

Now, let's solve for "x":

$0.80x - $0.20x = $41 - $23

$0.60x = $18

x = $18 / $0.60

x = 30