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14 October, 05:53

Suppose that the number of newborns (N) in an insect population can be predicted from the number of adult insects (I) according to the following equation, where r and b are variables related to the rates of population growth: N=rI-bI2. Calculate N if r=1.5, b=0.0015, and I=500. Rounding to the nearest whole number, N equals which of the following?

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  1. 14 October, 06:00
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    N equals to 749 newborn insects.

    Explanation:

    We have the following to calculate the population of newborn insects.

    N = rl - bl2

    In this equation we need to replace the values we know that are:

    l = 500

    r = 1.5

    b = 0.0015

    Whn we replace the values we have:

    N = (1.5) (500) - (0.0015) (500) (2) Now we just do the operations

    N = 750 - (0.0015) (1000)

    N = 750 - 1.5

    N = 748.5 When we roung the nearest whole number we get

    N = 749

    There were 749 new born insects that are represented by N.
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