Question

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?

Answer 1

Answer:

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

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.