Edwards Cross
06/02/2024 · Elementary School
Question Owen is deciding between two parking garages. Garage A charges an initial fee of \( \$ 12 \) to park plus \( \$ 2 \) per hour. Garage B charges an initial fee of \( \$ 4 \) to park plus \( \$ 3 \) per hour. Let \( A \) represent the amount Garage A would charge if Owen parks for \( t \) hours, and let \( B \) represent the amount Garage B would charge if Owen 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.
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The cost equations for Garage A and B are \( A = 12 + 2t \) and \( B = 4 + 3t \), respectively. The number of hours \( t \) that makes the cost the same for both garages is \( t = 8 \) hours.
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