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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?

User Geeksal
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1 Answer

11 votes

Answer:

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

Step-by-step explanation:

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


1,175 = 23.5\cdot (t+42)


1,175 = 23.5\cdot t + 987


23.5 \cdot t = 188


t = 8

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

User Pilau
by
7.4k points
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