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
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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.