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

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) (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:

You can see from the graph that, with the given function, there will be two different times when the number is 1,355,650.
RELATED QUESTIONS
The number of inmates N (measured in thousands) in federal and state prisons can be... (answered by TimothyLamb)

The number of inmates N (measured in thousands) in federal and state prisons can be... (answered by greenestamps)

The number of inmates N (measured in thousands) in federal and state... (answered by jim_thompson5910)

The number of state and federal inmates in millions in year x which >2002 can be... (answered by tommyt3rd)

The number N of state and federal inmates in millions during year x, where x > 2002 can... (answered by stanbon)

the number N of state and federal inmates in millions during year x>2002 can be... (answered by Alan3354)

The number N of state and federal inmates in millions during year x, where x>2002 can... (answered by stanbon,MathTherapy)

the number n of state and federal inmates in millions during year x, where x greater than (answered by MathTherapy)

The number N of state and federal inmates in millions during year X, >_ 2002 can (answered by solver91311)