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11 November, 13:21

In an over-fished area, the catch of a certain type of fish is decreasing at an average rate of 8% per year. If this decline persists, how long will it take for the catch to reach half of the amount before the decline?

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  1. 11 November, 15:24
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    n = n0 (1 - 0.08) ^t

    = n0 (0.92) ^t

    Putting n = n0 / 2:

    1 / 2 = 0.92^t

    t = log (1 / 2) / log (0.92)

    = 8.31 yr.
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