Mathematical model representing the total parking cost, Mathematics

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John has a choice of using one of two parking garages when he visits downtown:

Option1:  $8 an hour for the first two hours, then $2 and hour for each hour more than 2; or

Option 2:  $10 for the first hour and $2.50 for each hour more than one.
    Let x = total hours parked.

a)    Write a mathematical model representing the total parking cost, C, in terms of x for the following (assume John is parking for more than 2 hours):
Option 1:
Option 2:

b)    John plans to spend the day downtown (more than 2 hours), how many total hours would John have to park for the cost of option 1 to be less than option 2. Set up an inequality and show your work algebraically using the information in part a.


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