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From 1975 through 1989, the population, P (in 1000's) of California can be modeled by P = 23.5(t+42), where t=0 represents 1975. What year will the population be 1,175,000?

Respuesta :

xero099

Answer:

The year when the population will be 1,175.000 is 1983.

Explanation:

Let the population of Califonia be represented by [tex]P = 23.5\cdot (t+42)[/tex], where [tex]t[/tex] is time, measured in years. If we know that [tex]P(t) = 1,175[/tex], then the time associated with such population is:

[tex]1,175 = 23.5\cdot (t+42)[/tex]

[tex]1,175 = 23.5\cdot t + 987[/tex]

[tex]23.5 \cdot t = 188[/tex]

[tex]t = 8[/tex]

Then, the year when the population will be 1,175.000 is 1983.

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