23.03.2023 - 14:25

A fitness club opens with 80 members. Each month, the membership increases by 15 members. Write an equation that represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y.

A fitness club opens with 80 members. Each month, the membership increases by 15 members. Write an equation that represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y.

Answers (1)
  • Chicago9
    April 1, 2023 в 00:26

    The equation that represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y, can be written as:

    y = 15x + 80

    In this equation, x represents the number of months the club has been open, and y represents the total number of members in the club at that time.

    The equation is linear, with a slope of 15. This means that for every additional month that the club is open, the membership increases by 15 members. The y-intercept of the equation is 80, which represents the starting membership when the club first opened.

    For example, if the club has been open for 5 months, the equation predicts that the membership will be:

    y = 15(5) + 80 y = 75 + 80 y = 155

    Therefore, the total membership of the club after 5 months will be 155 members.

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