SOLUTION: The number of inmates N (measured in thousands) in federal and state prisons can be approximated by the equation N=-2.06x^2 + 77.81x + 749, where x is the number of years since

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Question 1115190:
The number of inmates N (measured in thousands) in federal and state prisons can be approximated by the equation N=-2.06x^2 + 77.81x + 749, where x is the number of years since 1990.
In what year was the number of inmates expected to be 1,355,650?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


With the "ugly" numbers, it is easiest to solve this using a graphing calculator.

Graph the given function and the constant and find where the graphs intersect.

A couple of things to remember....
(1) x is years after 1990;
(2) N is in thousands

The graph should look something like this:

graph%28400%2C400%2C-10%2C40%2C-500%2C2000%2C-2.06x%5E2%2B77.81x%2B749%2C1355.65%29

You can see from the graph that, with the given function, there will be two different times when the number is 1,355,650.