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Real-Life Math

Juvenile detention officers encounter math on the job every day. Many are responsible for bed counts. Others have to plan budgets and figure out ways to maximize available space.

One thing juvenile detention officers can count on is having to oversee juvenile offenders. Finding the space to house all the offenders and the officers to help watch them is a constant challenge.

You are a juvenile officer. You have been assigned to a task force looking into ways to meet the growing demands for beds at a regional juvenile detention center.

The center currently houses 144 inmates and has a capacity for 175. A new facility is due to be built in 6 years. Corrections officials want to know if that will be soon enough.

The number of juveniles being incarcerated increases by 4 percent per year. How many years will it be before the facility reaches capacity?

Hint: round up if the fraction is more than 1/2.