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EXAMPLE 3 Standardized Test Practice As a season pass holder, you pay $4 per session to use the towns tennis courts. Without the season pass, you pay $13 per session to use the tennis courts. The parks and recreation department in your town offers a season pass for $90.

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EXAMPLE 3 Standardized Test Practice Which system of equations can be used to find the number x of sessions of tennis after which the total cost y with a season pass, including the cost of the pass, is the same as the total cost without a season pass ? y = 13x y = 4x A y = 13x y = x C y = 4x y = x B y = x y = x D

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SOLUTION EXAMPLE 3 Standardized Test Practice Write a system of equations where y is the total cost (in dollars) for x sessions. EQUATION 1 y = 13 x

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EXAMPLE 3 Standardized Test Practice EQUATION 2 y = x ANSWER The correct answer is C. A C B D

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GUIDED PRACTICE for Example 3 4. Solve the linear system in Example 3 to find the number of sessions after which the total cost with a season pass, including the cost of the pass, is the same as the total cost without a season pass. ANSWER 10 sessions

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GUIDED PRACTICE for Example 3 5. WHAT IF? In Example 3, suppose a season pass costs $135. After how many sessions is the total cost with a season pass, including the cost of the pass, the same as the total cost without a season pass? ANSWER 15 sessions

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