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Amusement Park and Senior Citizen

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Amusement Park and Senior Citizen
A high scoring assessment includes the following: * All final answers are written as complete sentences. * Any expression, equations or formulas used need to be clearly stated. * All calculations are performed correctly. * Specific details in solving or evaluating should be evident. NO WORK, NO CREDIT! * Graphs and visuals are accurate and detailed.

Amusement Parks
Cedar Point Amusement in Sandusky, Ohio, is one of the largest and most popular amusement parks in the world. Over three million people visit the park each year. Opened in 1870, it is the second oldest amusement park in North America. In 1990, Cedar Point was listed in the Guinness Book of World Records for having more roller coasters than any other amusement park in the world. Currently, it has a total of fourteen roller coasters.

In Exercises 1-5, use the following information.
Suppose you, your uncle, and your little brother are purchasing passes to Cedar Point. You pay x dollars for your adult pass and $28 less for your little brother’s pass. Your uncle pays the senior citizen rate, which is $16 less than the adult pass. Two hours after the park opens, 4668 adult passes, 118 senior citizen passes, and 634 child passes are sold. The park’s income for these two hours is $186,320.

1. If the number of people entering the park occurs at a consistent rate, how many people could you expect to be in the park after six hours? After six hours there will be 14,004 adult passes, 354 senior citizen passes, and 1,902 child passes should be in the park. 2. Define variables for each of the unknowns in the problem. Let x represent the cost of an adult pass. The variables are x is Adult Pass cost, x-28 is Child’s Pass cost, x-16 is Senior citizen Pass cost. 3. Using the variables from Exercise 2, write an equation

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