Math Question: Mackenzie is deciding between two parking garages. Garage A charges an initial fee of $12 to park plus $5 per hour. Garage B charges an initial fee of $6 to park plus $6 per hour. Let A represent the amount Garage A would charge if Mackenzie parks fort hours, and let B represent the amount Garage B would charge if Mackenzie parks for t hours.
Write an equation for each situation, in terms of t, and determine the hours parked, t, that would make the cost of each garage the same.
Firstly, we must find the equation of cost of each garage for A and B garage. Let’s say “t” for hours.
For garage A’s cost: $12 + 5*t
For garage B’s cost: $6 + 6*t
Let’s calculate the t for the same price.
$12 + 5*t = $6 + 6*t
12 – 6 = 6t – 5t
6 = t. (to 6 hours = $42, Mackenzie pays same price to garage A and garage B.)