Mackenzie is deciding between two parking garages. Garage A charges an initial fee of $12 to park plus $5 per hour.

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.

 

Solution:

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.)

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