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Math (Variation)

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The cost of a pizza varies directly as the square of its radius. If a pizza with a 6-inch radius costs ₱148.00, how much should a pizza with an 11-inch radius cost?

  • Math (Variation) -

    cost = k r^2
    when r = 6, cost = 148
    148 = k(36)
    k = 37/9
    cost = (37/9) r^2
    so when r = 11
    cost = (37/9)(121) = 497.44

    or

    cost1/cost2 = r1^2/r2^2
    148/cost2 = 36/121
    36cost2 = 148(121)
    cost = 148(121)/36 = 497.44

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