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17 May, 21:25

A bowling alley charges each person $2 to rent shoes and $3 per game. Which function represents The rate of change of the function is The y-intercept of the function the cost for each person to bowl? represents

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  1. 17 May, 22:59
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    The function is, y = 2 + 3x

    The rate of change of the function is 3.

    The y-intercept of the function is 2.

    Explanation:

    Given,

    For each person,

    The cost of renting shoes = $ 2,

    Additional cost per game = $ 3,

    Thus, the total charges for x games, (say y) = rent + additional cost for x games

    ⇒ y = 2 + 3x

    Which is the required function,

    ∵ y = 2 + 3x is a line,

    We know that,

    The rate of change for a line y = mx + c is m.

    Thus, the rate of change of the function is 3.

    Now, for y-intercept,

    x = 0,

    y = 2 + 3 (0) = 2

    So, y-intercept of the function is 2.
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