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MTH 133 Unit 2 — A word problem !!!

Author:
January 16th, 2023

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.

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