Comparing two college enrollments, we have college "A," that had 14,100 students in 2005, and projected enrollment increases of 1500 students per year. College "B" had 2005 enrollment of 41,700, and a projected enrollment decline of 800 students per year. Determine the year at which both schools will have the same enrollment, and what that enrollment would be.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Comparing two college enrollments, we have college "A," that had 14,100 students in 2005, and projected enrollment increases of 1500 students per year. College "B" had 2005 enrollment of 41,700, and a projected enrollment decline of 800 students per year. Determine the year at which both schools will have the same enrollment, and what that enrollment would be. 

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Step 1

Let x years after 2005 both schools will have the same enrollment.

College "A," that had 14,100 students in 2005, and projected enrollment increases of 1500 students per year.

So, after x years number of students = 14100+1500x

Step 2

College "B" had 2005 enrollment of 41,700, and a projected enrollment decline of 800 students per year.

So, after x years number of students = 41700-800x

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