How many months should a judge sentence a convicted criminal?

Question

The mean time in prison for a crime y can be found as a function of the mean sentence length x, using the equation y=0.554x-2.886, where x and y are measured in months. how many months should a judge sentence a convicted criminal if she wants the criminal to actually serve between 4 and 6 years?

Answer 1

4 < 0.554x - 2.886 < 6

6.886 < 0.554x < 8.886

12.4 < x < 16.0

 

The judge should hand down a sentence between 13 and 16 years.