9. The theater club of a local high school is planning a production. The amount of time t needed to assemble the set is inverselyproportional

9. The theater club of a local high school is planning a production. The amount of time t needed to assemble the set is inversely proportional to the number people n working. Twelve people can assemble the set in 5 hours.
Write an equation to represent the situation.

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  1. The situation that represents this situation is:

    [tex]t = \frac{60}{n}[/tex]

    Step-by-step explanation:

    The amount of time t needed to assemble the set is inversely  proportional to the number people n working.

    This means that:

    [tex]t = \frac{k}{n}[/tex]

    In which k is the constant of proportionality.

    Twelve people can assemble the set in 5 hours.

    This means that for [tex]n = 12, t = 5[/tex]. We use this to find k.

    [tex]t = \frac{k}{n}[/tex]

    [tex]5 = \frac{k}{12}[/tex]

    [tex]k = 12*5 = 60[/tex]

    Write an equation to represent the situation.

    [tex]t = \frac{60}{n}[/tex]

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