Assignment:
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: C=8+2(x-2)_________________
Option 2: C=10+2.5(x-1)_________________
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.
Provide complete and step by step solution for the question and show calculations and use formulas.