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Tennis Court Season Pass Comparison

This standardized test practice focuses on comparing the total cost of using tennis courts with and without a season pass. A system of equations is used to find the number of sessions after which the total cost is the same.

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Tennis Court Season Pass Comparison

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

  2. A B y = 4x y = 4x y = 90 + 13x y = 13x D C y = 13x y = 90 + 4x y = 90 + 4x y = 90 + 13x EXAMPLE 3 Standardized Test Practice Which system of equations can be used to find the number xof sessions of tennis after which the total cost ywith a season pass, including the cost of the pass, is the same as the total cost without a season pass?

  3. y=13x EXAMPLE 3 Standardized Test Practice SOLUTION Write a system of equations where yis the total cost (in dollars) for xsessions. EQUATION1

  4. y = 90+ 4x ANSWER The correct answer is C. A D B C EXAMPLE 3 Standardized Test Practice EQUATION 2

  5. ANSWER 10 sessions for Example 3 GUIDED PRACTICE 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.

  6. ANSWER 15 sessions for Example 3 GUIDED PRACTICE 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?

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