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24 September, 08:50

Insect larvae grow incredibly quickly over the first several days of their lives. The length of one particular species increases exponentially at a rate of 25% each day. A scientist studying this species of larva measures one specimen to be 3 mm in length at the beginning of his observation period. The scientist will transfer the larvae to a new environment once the larvae are over 9.16 mm long.

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  1. 24 September, 09:12
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    The exponent graph for this question would be:

    an = 3mm (1.25) ^t

    If the target length of the larvae is 9.16 mm, the time needed would be:

    an = 3mm (1.25) ^t

    9.16 mm = 3mm (1.25) ^t

    3mm*3.053=3mm (1.25) ^t

    1.25^t = 3.053

    1.25^t = 1.25^5

    t=5
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