Answer:
14 days
Step-by-step 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:
[tex]c_1(x) = 100 + 25x[/tex]
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:
[tex]c_2(x) = 30 + 30x[/tex]
where x is the number of days for which the car is rented.
Equating the two equations, we get,
[tex]c_1(x) = c_2(x) \\100 + 25x = 30+30x\\5x = 70\\x = 14[/tex]
Thus, if a car is rented for 14 days it will cost the same.
