We will determine how to evaluate a cheaper option for Blake to park his car.
Blake can park his car in either Garage A or B. Each Garage has its own charging model (relation) for the amount of time (t) taken for the car to be parked
A general fee charging model is an explicit linear relation between the total amount charged (AA or BB) and the time (t) for which the car is parked. It consists of two parts i.e initial fee and rate charge.
To mathematically express the explicit relation we can write:

We will use the above model to express the charging fee for each garage as follows:


Once we have mathematically expressed the charging fee model of both garages we can go ahead and evaluate the fee charged if Blake wants to park his car for t=12 hours.
We will use each mathematical model and evaluate the fee for t=12 :


Therefore, the charging fee for t =12 hours is cheaper for garage B. Hence, Blake should park his car in garage B!
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