1. Jameston High School has 2020 students. Its enrollment has been decreasing

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1.      Jameston High School has 2020 students.  Its enrollment has been decreasing at a rate of 125 students per year.  Townsville High School has 1075 students.  Its enrollment has been increasing at a rate of 80 students per year. Assuming the enrollment rates continue:


A.    Write an equation to model this.


B.    When will they have the same enrollment?


C.    What is that enrollment amount?


Jun 26th, 2015

Thank you for the opportunity to help you with your question!

Let "y" be the number of years:

Jamestown's enrollment is:  2020 - 125y

Townsville's enrollment is:  1075 + 80y

They will have the same enrollment when they are equal:  2020 - 125y = 1075 + 80y

Solve:  2020 = 1075 + 205y


y = 4.6

Plug that in and you will have the enrollment.

2020 - 125(4.6) = 1445.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 26th, 2015

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