Question

In 2003, there were 15,600 students at college A, with a projected enrollment increase of 1000 students per year. In the same year, there were 33,600 student at college B, with a projected enrollment decline of 500 students per year. According to these projections, when will the colleges have the same enrollment? What will be the enrollment at that time?

Answer 1

In college A

Students increase 1000 students per year

After t years

The students are 15600+(1000)t

In college B

Students decrease 500 students per year

After t years

The students are 33600-(500)t

They have same enrollment when

15600+1000t = 33600-500t

=> 1000t+500t = 33600-15600

=> 1500t = 18000

=> t = 12 yrs

=> 2003+12=2015

At the year 2015 the colleges enrollment is same

The enrollement is 15600+1000t

= 15600+1000(12)

=15600+12000

=27600

The enrollment will be 27600