A county has 2,500 high school students. The County built a new high school with a capacity for 3,200 students. If the student population grows at 4% per year, how long until the new school is full? (Round to the nearest tenth.)

Question

A county has 2,500 high school students.  The County built a new high school with a capacity for 3,200 students.  If the student population grows at 4% per year, how long until the new school is full?  (Round to the nearest tenth.)

oobleck · Answer

2500 * 1.04^n >= 3200 1.04^n >= 1.28 n >= 6.29 years