You are planning on flying out of an airport on a trip. The airport parking garage...

You are planning on flying out of an airport on a trip. The airport parking garage charges $6 per day for the first four days, $4 per day for the next three days and $2 per day thereafter. A parking garage just outside the airport charges $5 per day and provides a free shuttle to the airport. When is it more cost-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. What do 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 the problem?

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

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

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

Expert Solution

Colby Messinger answered 2 years ago

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