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1 August, 19:26

The population (in millions) of a certain country t years after 1900 is given by the function p (t). There were 480 million in 1900. If p′ (t) = 3 throughout the time span 1900 to 1910, what was the population of the country in 1907? (Hint: What was the practical signifigance of p′ (t) = 3)

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  1. 1 August, 21:31
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    The population of the country in 1907 was 501 million.

    Step-by-step explanation:

    Hi there!

    The population is given by the function p (t)

    We know that p (0) = 480 million and that p' (t) = 3.

    p' (t) is the derivative of the function p (t) and expresses the variation (or rate of change) of the population with respect to "t". In this case, p' (t) = 3 indicates that the population increases by 3 million per year (because t is in years) from 1900 to 1910. Then, in 1907 the population will be:

    480 million + 3 million / year · 7 year = 501 million.
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