Question

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
0.0000113x^3 -0.000922x^2 +0.0538x +1.97
where 0 corresponds to 1950. Determine the year in which the population of Los Angeles reached 2.6 million.

Answer 1

http://bit.ly/1mKCe3Q

Answer 2

There are no results. Trust me; I've already tried google. XD

Answer 3

If it helps anyone, I know the answer is 1964.

Answer 4

Honestly I have no clue that is why I tried to google it for you, but hey maybe @abb0t can help you he is great at helping people. :)

Answer 5

Can you use software lol? These look like really ugly numbers to work with by hand

Answer 6

http://www.wolframalpha.com/input/?i=2.6%3D0.0000113x%5E3+-0.000922x%5E2+%2B0.0538x+%2B1.97

Answer 7

I believe so!

Answer 8

x = 14.773. Since the baseline x =0 is considered 1950, then 1950+14.773 = 1964 (about)

Answer 9

which makes sense, the population attained 2.6 million sometime during 1964, but before 1965

Answer 10

Where on the graph is the 2.6 million concerned?

Answer 11

Don't get me wrong; what you have said does make sense.
It's just that I don't know how 14.773 and 26 million are related.
I don't know. Maybe I'm just have a brain-malfunction or something. -.-

Answer 12

You know that y = 2.6 is what you are looking for
But in general, y = 0.0000113x^3 -0.000922x^2 +0.0538x +1.97

So the equation you are solving for is
2.6 = 0.0000113x^3 -0.000922x^2 +0.0538x +1.97

When you solve this, it gives you x = 14.77 , where "x" is the year

But the baseline is indicated to be 1950, so i added 14.77 to 1950

Answer 13

does it make sense

Answer 14

Oh yes, it does now. Thank you so much for the help and explanation. :D