Find equation of A and B

Algebra
Tutor: None Selected Time limit: 1 Day

The enrollment at A was 27,800 students in 2000 and declines by 550 students each year since then. The enrollment at college B was 14900 students in 2000 and increases by 900 students each year since then.

May 17th, 2015

Let's call x the number year since 2000, A(x) the enrollment of students at A and B(x) the enrollment at college B

A(x)=27,800-550*x

B(x)=14,900+900*x

Don't hesitate to provide me a nice feedback. I will appreciate. Thank you. 

May 17th, 2015

thank you so much.

May 17th, 2015

You are welcome. Don't hesitate to ask for any additional information. 

May 17th, 2015

Use your model to predict when both colleges will have the same enrollment. What is the enrollment?

Predict the years when the enrollment at colleges B will be greater than the enrollment at college A.

May 17th, 2015

To determine when both colleges will have the same enrollement we have to solve A(x)=B(x)

A(x)=B(x) <=> 27,800-550*x=14,900+900*x

<=>27800-14900=900*x+550x

<=>12900=1450*x

<=>x=12900/1450

<=>x=8.9

for x=9 it means in 2009 A(x)=22,850 and B(x)=23,000

The enrollment will be pretty the same and starting from 2009 the enrollment at college B will be greater than the enrollment at college A.


May 17th, 2015

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