In 2005, there were 16 comma 900 students at college A, with a projected enrollment increase of 1250 students per year. In the same year, there were 37 comma 150 students at college B, with a projected enrollment decline of 1000 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?

Question

Social Studies

Adalyn Shaffer

1 April, 22:05

In 2005, there were 16 comma 900 students at college A, with a projected enrollment increase of 1250 students per year. In the same year, there were 37 comma 150 students at college B, with a projected enrollment decline of 1000 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?

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Answers (1)

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Bella Macdonald · Answer 1

In 2019 the both college have same enrollment i. e 34,400

Explanation:

Let x be time in year and y is total population

According to the information given for two college we have two equation

y = 16900 + 1250x ... for college A

y = 37150 + 150x ... for college B

As two college have same enrollement therefore we have

16900 + 1250X = 37150 + 150X

1250X - 150X = 37150 - 16900

X = 14.46

X = 14

So in 2005 + 14 = 2019 year the college have same enrollement

y = 16900 + 1250 (14)

y = 34,400