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6 July, 23:10

7. The cost of renting the party room for 10 people is $117.50. The cost of renting the room is $151.25 for 15 people. Write an equation that represents the cost of renting the party room in terms of the number of people attending the party.

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  1. 7 July, 02:13
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    C = 6.75n + 50

    Step-by-step explanation:

    The equation for the cost of renting the party room can be written in the form;

    C = mn+k ... i

    Where C = cost

    n = number of people

    Substituting the 2 cases into the equation we have,

    Case 1

    117.5 = 10m + k ... 1

    Case 2

    151.25 = 15m + k ... 2

    Subtracting eqn 1 from 2 we have

    151.25 - 117.50 = 15m - 10m

    5m = 33.75

    m = 33.75/5 = 6.75

    Substituting m = 6.75 into eqn 1, we have

    117.50 = 10 (6.75) + k

    k = 117.5 - 67.50

    k = 50

    Therefore, rewriting the eqn i, we have

    C = 6.75n + 50
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