A flock of 200 birds were flying south for the winter. Every day, the amount of birds in the flock increased by an average of 4%.

Question

A flock of 200 birds were flying south for the winter. Every day, the amount of birds in the flock increased by an average of 4%.

The amount of birds in the flock, b, can be represented by an exponential function, where d represents the number of days since the 200 birds started. What is the equation of this exponential function?
b = 1.04 ยท 200d

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Caroline 2 weeks 2021-10-14T03:15:58+00:00 1 Answer 0

Answers ( )

    0
    2021-10-14T03:17:23+00:00

    Answer:

    b=200(1.04)^{d}

    Step-by-step explanation:

    we know that

    The exponential function is of the form

    y=a(b)^{x}

    where

    a is the initial value

    b is the base

    In this problem we have

    a=200 birds

    b=100%+4%=104%=104/100=1.04

    substitute

    y=200(1.04)^{x}

    Let change of variables

    b=200(1.04)^{d}

    where

    b is the amount of birds in the flock

    d is the number of days since the 200 birds started

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