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

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.