You are planning on flying out of an airport on a trip. Theairport parking garage charges $6 per day for the first four days,$4 per day for the next three days and $2 per day thereafter. Aparking garage just outside the airport charges $5 per day andprovides a free shuttle to the airport. When is it morecost-effective to park at the airport parking garage?

Your solution MUST include responses to ALL four parts. a)Understand the problem. Restate the problem in your own words. Whatdo you know from the reading the problem? What are you looking for?What type of problem is this? What is needed in order to solve theproblem?

b) Make a plan. State your plan for solving this problem. Youmay use words or diagrams. You might want to consider making atable, drawing a diagram, looking for a pattern, or building anequation or model.

c) Implement your plan. Once you have articulated your plan,carry out your plan. Using the information given, createmathematical model, an equation that you can use to determine whenit will be more cost-effective to park at the airport parkinggarage. Clearly indicate how you arrived at that answer. Show yourwork! (*Even if using a calculator, discuss how and why you tookthe steps you did, not just what buttons you pushed.)

d) Look back. Is your answer reasonable? Can you find a way tocheck your work? Interpret your results. Remember that you havemultiple representations – words, tables, graphs, and equations.Can you find another way to look at this problem that would allowyou to check that your solution is correct? Interpret the answersin the context of the original application.