The number of state and federal inmates in millions during year x was x=2002 X CAN BE APPROXIMATED BY THE FOLLOWING

n=0.03X-59.02
dETERMINE THE YEAR THERE WERE 101 MILLION INMATES

101=.03x-59.02

160.02=.03 x

x=160/.03=5333

Something is wrong here. Did you copy it correctly?

yES, IT SHOULD BE 1.1 MILLION INMATES

To determine the year when there were 101 million inmates, we need to solve the equation n = 101, where n represents the number of inmates in millions and X represents the year.

Given the equation n = 0.03X - 59.02, we substitute n with 101 and solve for X:

101 = 0.03X - 59.02

Let's isolate X by adding 59.02 to both sides of the equation:

101 + 59.02 = 0.03X

160.02 = 0.03X

Now, divide both sides of the equation by 0.03 to solve for X:

160.02 / 0.03 = X

X ≈ 5334

Therefore, the year when there were approximately 101 million inmates is 5334.