math

An apple pie 10 cm in diameter costs $1.50. Then, an apple pie 20 cm in diameter should cost

a. $3.00
b. $4.00
c. $4.50
d. $6.00
e. $8.00

please answer and explain

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  1. Those are awfully small apple pies.

    Area = pi * r^2

    A = 3.14 * 5^2
    A = 78.5 square cm.

    1.5 / 78.5 = $0.019 per square cm

    A = 3.14 * 10^2
    A = 314 sq. cm

    314 * 0.019 = $5.97

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    Ms. Sue
  2. Since cost usually varies with the area

    and the area is proportional to the square of the corresponding sides, the area would be 4 times as large, thus the cost would be 4($1.5) or $6.00

    ( ratio of sides = 2:1
    so ratio of areas = 2^2 : 1^2 = 4 : 1
    ratio of costs = 4 : 1 )

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