The number of state federal inmates in millions during year x, where x is greater than or equal to 2002 can be approximated by the following formula
N=0.04x-78.96
Determine the year in which there were 1.2 million inmates
N = 1.2
1.2 = 0.04 x - 78.96
OR
0.04 x - 78.96 = 1.2
0.04 x = 1.2 + 78.96
0.04 x = 80.16 Divide both sides by 0.04
x = 80.16 / 0.04
x = 2004
N=0.03x-58.78
The number of state federal inmates in millions during year x, where x is greater than or equal to 2002 can be approximated by the following formula.
N=0.04x-78.48
Determine the year in which there were 1.8 million inmates
d=60 feet, t=12second
To determine the year in which there were 1.2 million inmates, we can substitute N = 1.2 into the given formula and solve for x.
N = 0.04x - 78.96
Substituting N = 1.2:
1.2 = 0.04x - 78.96
To solve for x, we can isolate the variable by adding 78.96 to both sides:
1.2 + 78.96 = 0.04x
Next, we simplify the equation:
80.16 = 0.04x
Now, we can isolate x by dividing both sides by 0.04:
(80.16) / (0.04) = x
2004 = x
Therefore, the year in which there were approximately 1.2 million inmates is 2004.