To rental car companies are running specials this month at Joseph rentals customers will pay $47 to rent a midsize car for the first day plus Two dollars for each additional day affair Fox rental the price for a midsize car is $36 for the first day and $13 for every additional day beyond that at some point renting from either one of these companies would cost to customer the same amount how many additional days would it take? How much with the customer pay?

At Joseph rentals, customers will pay $47 to rent a midsize car for the first day plus two dollars for each additional day. This means that the total cost of using Joseph rental for x days would be

47 + 2(x - 1) = 47 + 2x - 2

= 45 + 2x

At Fox rental, the price for a midsize car is $36 for the first day and $13 for every additional day beyond that. This means that the total cost of using Fox rental for x days would be

36 + 13(x - 1) = 36 + 13x - 13

= 23 + 13x

At the point where renting at either companies will cost the customer the same amount, then

45 + 2x = 23 + 13x

13x - 2x = 45 - 23

11x = 22

x = 22/11 = 2

The amount that the customer will psy is

23 + 13 × 2 = 49