# Renting A Mazda 3 in Miami

## The Equations

VARIABLES
Let C represent Cost.
Let d represent the number of days you rent the Mazda 3.

Licensing Fees are fees rental companies charge to recover the costs of licensing their cars.

Equation for South Beach Car Rental:
C=15d+90
The slope for South Beach is 15 and this represents the cost for renting the Mazda 3 for 1 day. The 90 represents the licensing fees.

Equation for Florida Rent A Car:
C=18d+60
The slope for Florida is 18 and this represents the cost for renting the Mazda 3 for 1 day. The 60 represents the licensing fee,

## So, which one is cheaper ?

If we analyze the graph we can notice that both the lines intersect at (10,240) which means that both car rental companies charge the same amount of \$240 at 10 days. Since both of these lines intersect and take over each other, we can use this to our advantage and figure out which one would be cheaper and would be able to fit our budget. If we see, it is cheaper to rent from Florida if we rent for 9 or less days but it is cheaper to rent from South beach if we rent for 11 or more days.
Therefore, it does not matter where you rent the Mazda 3 from because both South Beach Car Rental and Florida Rent A Car charge the same cost of \$240 at 10 days.