Compare a yearly pass with a daily pass at the zoo

Compare a yearly pass with a daily pass at the zoo, to determine which option is most advantageous for a customer based upon the

customer s needs .

Yearly membership $94

Daily entry children - $9

Daily entry adults - $13

Family of 2 adults and 1 child

A. Create a story problem using the above real-world scenarios as a basis, including

realistic numeric values, by doing the following:

1. Describe the real-world problem.

2. Explain all needs (e.g., financial, non-financial, situational) of the hypothetical

consumer.

3. Discuss two cost options that are being considered.

B. Analyze the cost of each option algebraically by doing the following:

1. Develop an algebraic equation(s) with clearly defined variables to represent the cost

of each option.

Note: In some circumstances, a single cost option may require two equations

2. Explain the reasoning process used to translate the written description of each cost

option into algebraic equations.

3. Solve the system of equations algebraically to determine where the two cost options

are equivalent, showing all work.

a. Explain each step used to solve the system of equations. Include the following in

your explanation:

All mathematical operations used to solve the system of equations

The solution(s) of the system of equations in ordered-pair notation

C. Depict the real-world problem on a single graph, using appropriate graphing software

(e.g., Excel).

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