Question

at zippy rent a car you can rent a car for $25per day with a one time fee of $100. a speedy rent a caryou can rent acar for$30 per dat with a one time fee of $30. write an solve a system equations to find the number of days for carrental locations wll cost the same

Answer 1

14 days

Explanation:

We are given the following in the question:

zippy:

One time fee = $100

Charges = $25 per day

Thus, we can write the equation for total cost as:

`c_1(x) = 100 + 25x`

where x is the number of days for which the car is rented.

Speedy:

One time fee = $30

Charges = $30 per day

Thus, we can write the equation for total cost as:

`c_2(x) = 30 + 30x`

where x is the number of days for which the car is rented.

Equating the two equations, we get,

`c_1(x) = c_2(x) \\100 + 25x = 30+30x\\5x = 70\\x = 14`

Thus, if a car is rented for 14 days it will cost the same.