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The population of a particular country was 29 million in 1980; in 1989, it was 36 million. The exponential growth function A=29e^kt describes the population of this country t years after 1980. Use the fact that 9 years after 1980 the population increased by 7 million to find k to three decimal places.

  • Math -

    36 = 29 e^(9k)
    1.24138 = e^(9k)
    9k = ln (1.24138)
    k = ln (1.24138)/9
    = ....

  • Math -

    36M=29M*e^k9

    take the ln of each side.
    ln(36)=ln29+ 9k
    k= (ln(36/29)) /9

  • Math -

    Thank you again! Both of u. much appreciated

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