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    susan6057's Avatar
    susan6057 Posts: 3, Reputation: 1
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    #1

    Dec 29, 2007, 11:36 AM
    Exponential and Logarithmic functions
    In 2000 the population of Isreal was approximately 6.04 million and by 2050 it is projected to grow to 10 million
    Use the exponential growth model A=A oekt in which t is the number of years after 2000 to find an exponential growth function that models the data.


    I am not even sure of the correct way to write this because the o and e after the A are exponents but on the bottem of this and the k and t are regular exponents

    I sure hope some one can help with this one there is also a small graph with this That I have no way of getting in here please some one help me on this
    s_cianci's Avatar
    s_cianci Posts: 5,472, Reputation: 760
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    #2

    Dec 29, 2007, 11:41 AM
    You need to find the applicable value of k for this situation. Plug in all of the other parameters ; A , Ao and t.
    jiten55's Avatar
    jiten55 Posts: 105, Reputation: 8
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    #3

    Dec 29, 2007, 05:57 PM
    I think this is easier way to type:

    Let p be the population at time t = 0. (year 2000)

    P is the population at time t

    P = p e^kt

    When t = 0: P = 6.04

    Hence P = 6.04 e^kt

    When t = 50, P = 10

    10 = 6.04 e^50k

    e^50k = 10/6.04 = 1.655629139

    Take log of both sides

    50 k = log 1.655629139 (base e) = 0.504181049

    k = 0.010083621

    Hence the model is:

    P = 6.04 e^kt where k = 0.010083621

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