The number N of state and federal inmates in millions during year x, where x>2002 can be approximated by the following formula
N= 0.03x-58.91
Determine the year in which there were 1.3 million inmates.
It was in the year_______
1.3 = .03x -58.91
Sove for x by adding 58.91 to both sides and dividing by .o3
To find the year in which there were 1.3 million inmates, we can use the formula provided: N = 0.03x - 58.91, where N represents the number of inmates in millions and x represents the year.
We need to solve the equation when N (the number of inmates) is equal to 1.3 million. So we substitute N = 1.3 into the formula:
1.3 = 0.03x - 58.91
To isolate x, we can add 58.91 to both sides of the equation:
1.3 + 58.91 = 0.03x - 58.91 + 58.91
60.21 = 0.03x
Next, we can divide both sides of the equation by 0.03 to solve for x:
60.21 / 0.03 = 0.03x / 0.03
2007 = x
Therefore, the year in which there were 1.3 million inmates is 2007.