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4 June, 09:05

According to your model, as the population of San Francisco was revitalizing, for what value of the independent variable t did it reach 750 thousand

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  1. 4 June, 10:57
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    t = 1.453 decades from 1980 i. e in year 1994.5

    Step-by-step explanation:

    Given:

    - Population @ year 1980 P = 678.97 thousands.

    - Population @ year 2000 P = 776.73 thousands.

    - The rate of increase is linear - constant rate.

    Find:

    As the population of San Francisco was revitalizing, for what value of the independent variable t did it reach 750 thousand?

    Solution:

    - Develop an expression of population P as a function of time t in decades elapsed from year 1980 on-wards

    - The linear expression can take a form of:

    P (t) = m*t + C

    - Where, m is the rate of increase.

    C is the initial population.

    - Formulate m:

    m = (776.73 - 678.97) / 2 = 48.88

    - Formulate C:

    C = P (@ 1980) = 678.97

    - Evaluate P (t) = 750:

    P (t) = 48.8*t + 678.97

    750 = 48.8*t + 678.97

    t = 71.03/48.8

    t = 1.453 decades
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