Answer:
The year in which the population of Los Angeles reached 2.6 million is 1965.
Step-by-step explanation:
We are given the approximate population y (in millions) of Los Angeles between 1950 and 2000 is given by:
[tex]y = 0.0000113x^3-0.000922x^2 +0.0538x + 1.97[/tex]
y = Population(in millions)
We are supposed to find the year in which the population of Los Angeles reached 2.6 million.
Substitute y = 2.6
[tex]2.6 = 0.0000113x^3-0.000922x^2 +0.0538x + 1.97\\2.6-1.97=0.0000113x^3-0.000922x^2 +0.0538x\\0.63=0.0000113x^3-0.000922x^2 +0.0538x[/tex]
The real solution is x=14.77≈15
We are given that 0 corresponds to 1950.
So, 15 corresponds to 1965
Hence the year in which the population of Los Angeles reached 2.6 million is 1965.
