According to data from the U. S. Bureau of the Census, the approximate population y (in millions) of Los Angeles between 1950 and 2000 is given by
y = 0.0000113x^3-0.000922x2 +0.0538x + 1.97
where 0 corresponds to 1950. Determine the year in which the population of Los Angeles reached 2.6 million.

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:

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

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.

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step-by-step explanation: