In 2015, there were 14,100 students at college A, with a projected enrollment increase of 1500 students per year. In the same year, there were 41,700 students at college B, with a projected enrollment decline of 800 students per year. a. Let x represent the number of years after 2015. Write, but do not solve, an equation that can be used to find how many years after 2015 the colleges will have the same enrollment. b. The following table is based on your equation in part (a). Y represents one side of the equation and Y2 represents the other side of the equation. Use the table to answer these questions: In which year will the colleges have the same enrollment? What will be the enrollment in each college at that time? Y1 Y2 24600 26100 36100 35300 10 11 12 13 14 15 16 17 27600 29100 30600 32100 33600 35100 36600 38100 39600 34500 33700 32900 32100 31300 30500 29700 28900 28100 X=7

In 2015, there were 14,100 students at college A, with a projected enrollment increase of 1500 students per year. In the same year, there were 41,700 students at college B, with a projected enrollment decline of 800 students per year. a. Let x represent the number of years after 2015. Write, but do not solve, an equation that can be used to find how many years after 2015 the colleges will have the same enrollment. b. The following table is based on your equation in part (a). Y represents one side of the equation and Y2 represents the other side of the equation. Use the table to answer these questions: In which year will the colleges have the same enrollment? What will be the enrollment in each college at that time? Y1 Y2 24600 26100 36100 35300 10 11 12 13 14 15 16 17 27600 29100 30600 32100 33600 35100 36600 38100 39600 34500 33700 32900 32100 31300 30500 29700 28900 28100 X=7

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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Question

In 2015, there were 14,100 students at college A, with a
projected enrollment increase of 1500 students per year. In
the same year, there were 41,700 students at college B, with a
projected enrollment decline of 800 students per year.
a. Let x represent the number of years after 2015. Write,
but do not solve, an equation that can be used to find how
many years after 2015 the colleges will have the same
enrollment.
b. The following table is based on your equation in part (a).
Y represents one side of the equation and Y2 represents
the other side of the equation. Use the table to answer
these questions: In which year will the colleges have the
same enrollment? What will be the enrollment in each
college at that time?
Y1
Y2
24600
26100
36100
35300
10
11
12
13
14
15
16
17
27600
29100
30600
32100
33600
35100
36600
38100
39600
34500
33700
32900
32100
31300
30500
29700
28900
28100
X=7

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