the number N of state and federal inmates in millions during year X, where X> 2002, can be aproximated by the formula N= 0.03x - 58.62. determine the year in which there were 1.5 million inmates

see other post

The year was 2003

To determine the year in which there were 1.5 million inmates, we need to plug in the value of N as 1.5 million into the formula N = 0.03x - 58.62 and solve for x.

The formula given is N = 0.03x - 58.62, where N represents the number of state and federal inmates in millions and x represents the year.

Now let's substitute N with 1.5 million and solve for x:

1.5 = 0.03x - 58.62

To isolate x, we can start by adding 58.62 to both sides of the equation:

1.5 + 58.62 = 0.03x

Combining the numbers on the left side gives us:

60.12 = 0.03x

Next, divide both sides of the equation by 0.03 to solve for x:

60.12 / 0.03 = x

This gives us:

x ≈ 2004

Therefore, the year in which there were approximately 1.5 million inmates is 2004.