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8 November, 00:22

The cost of circular mirrors is directly proportional to the square of the diameter. a circular mirror with a diameter of 60cm costs £50. What is the cost of a circular mirror with a diameter of 90cm?

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  1. 8 November, 03:53
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    When 'y' is directly proportional to 'x', we express this by

    y = kx

    where 'k' is the constant, which we need to work out first

    Cost of circular mirrors = (k) (diameter) ²

    50 = k (60) ²

    50 : 3600 = k

    the proportional formula is

    y = (1/72) x²

    The cost of the mirror when diameter = 90cm

    y = (1/72) (90) ²

    y = 112.5

    Answer: $112.50
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