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. Answer: Show your work here:
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 tota