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2 June, 21:13

The number of pepperoni slices that kim puts on a pizza varies directly as the square of the diameter of the pizza. If she puts 15 slices on a 10" diameter pizza, how many slices should she put on a 16" diameter pizza?

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  1. 2 June, 21:15
    0
    Varies directly as the square of the diameter

    square means to multiply by itself or x^2

    that means

    k=x/y

    in this case

    x=15

    y=10^2

    k=15/10^2=15/100=3/20

    so the new pizza is

    k=x/16^2

    k=3/20

    3/20=x/16^2

    evaluate 16^2

    3/20=x/256

    multiply both sides by 256

    768/20=x

    384/10=x

    38.4=x

    she should put about 38 slises
  2. 2 June, 21:26
    0
    You can make this into a fraction, and then simplify it.

    15/10, right?

    15/10 = 3/2

    Then compare 3/2 to the rest of the equation

    3/2 = x/16

    2 * 8 = 16

    so

    3 * 8 = x

    x = 24

    Kim would put x number of pizza slices on her pizza.

    So she would be putting on 24 slices on her pizza.
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