Mathematics: In the example we modeled the world population in the second half of the 20th century by the equation p(t) = 2560e0.017185t. use this equation to estimate the average world population during the time period of 1950 to 1980. (round your answer to the nearest million.) million people

In the example we modeled the world population

Ответ:

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15.03.2022

For 1950, t = 0 and for 1990, t = 1980 - 1950 = 30

Given that the world population in the second half of the 20th century was modelled by the equation $P(t) = 2560e^{0.017185t}$ .

The average world population during the time period of 1950 to 1980 is given by

$Average\, world\, population= \frac{ \int\limits^{30}_0 {2560e^{0.017185t}} \, dx }{30-0} \\ \\ = \frac{2560e^{0.017185(30)}-2560e^{0.017185(0)}}{30(0.017185)} = \frac{2560(e^{0.51555}-e^0)}{0.51555} \\ \\ = \frac{2560(1.674559-1)}{0.51555} = \frac{2560(0.674559)}{0.51555} = \frac{1726.8717}{0.51555} =3,350\, million$