Question

In 2010, there were 13,300 students at college A, with a projected enrollment increase of 1000 students per year. In the same year, there were 26,800 students 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 in each college at that time?

Answer 1

College A and college B will have the same enrollment in 9 years, with an enrollment of 22300 students.

Step-by-step explanation:

To find when the two colleges will have the same enrollment, we need to set up an equation.

Let x represent the number of years since 2010.

For college A, the equation is:

13300 + 1000x = Enrollment for college A in x years

For college B, the equation is:

26800 - 500x = Enrollment for college B in x years

To find when the two enrollments are equal, we set the two equations equal to each other:

13300 + 1000x = 26800 - 500x

Next, we solve for x:

1500x = 13500

x = 9

So, in 9 years from 2010, college A and college B will have the same enrollment.

To find the enrollment at that time, we substitute x = 9 back into either equation. Let's use the equation for college A:

Enrollment for college A in 9 years = 13300 + 1000(9) = 13300 + 9000 = 22300

Therefore, the enrollment for college A and college B at that time will be 22300 students.

Answer 2

89gtij

Step-by-step explanation: