The N of states and fedarl inmates in million during year x, where X ¡Ý 2002 can be approximated by the following formula.

N=0.04x - 78.46
Determine the year in which there were 1.7 million inmates in the year?

1.7=.04x-78.46

.04x=80.16

x= 8016/4=2004

Thank you so much!

To determine the year in which there were 1.7 million inmates, we can use the formula N = 0.04x - 78.46 and substitute N with 1.7:

1.7 = 0.04x - 78.46

To find the value of x, we can rearrange the equation to isolate x:

0.04x = 1.7 + 78.46
0.04x = 80.16

Next, divide both sides of the equation by 0.04 to solve for x:

x = 80.16 / 0.04
x = 2004

Therefore, in the year 2004, there were approximately 1.7 million inmates.