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From 1890 to 2000, the American Indian, Eskimo, and Aleut population $P$ (in thousands) can be modeled by the function $P=0.004t^3-0.24t^2+4.9t+243$ , where $t$ is the number of years since 1890. In which year did the population first reach 722,000? The population first reached 722,000 in the year .

Respuesta :

The year in which the population first reached 722000 after 1890 is;

The year 1958.

We are told that the population from 1890 to 2000 is modeled by;

P = 0.004t³ - 0.24t² + 4.9t + 243

where t is the number of years since 1890

Now, we want to find out when the population first reached 722. This means t at P = 722. Thus, since they are in thousands then;

0.004t³ - 0.24t² + 4.9t + 243 = 722

⇒ 0.004t³ - 0.24t² + 4.9t + 243 - 722 = 0

⇒ 0.004t³ - 0.24t² + 4.9t - 479 = 0

Using an online polynomial equation solver, we have;

t = 68 years

Thus, the population first reached 722000 about 68 years after 1890 which is the year 1958.

Read more at; https://brainly.com/question/17375720

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