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21 April, 18:59

The Parks and recreation department in your town offers a season pass for $150.

With the season pass you pay $5 per session to use the town's tennis courts. Without the season pass you pay $15 per session to use the tennis courts.

Write a system of equations to represent the situation

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  1. 21 April, 19:06
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    The system of equations are p = 150 + 5n and p = 15n

    Solution:

    Given that, The Parks and recreation department in your town offers a season pass for $150.

    With the season pass you pay $5 per session to use the town's tennis courts.

    Without the season pass you pay $15 per session to use the tennis courts.

    We have to write a system of equations to represent the situation

    Now, let the number of sessions be "n" and total paying amount be "p"

    Then in case of taking season pass

    total amount = season pass cost + $5 per session

    p = 150 + 5 x n

    p = 150 + 5n

    And in case of no season pass

    total amount = 15 per session

    p = 15 x n

    p = 15n

    Hence, the system of equations are p = 150 + 5n and p = 15n
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