A newly appointed school district superintendent releases a plan for the next 20 years that affects the schools within the boundaries of the district. In this plan, there is new policy that states that if a high school has less than 100 students, then the school will be shut down. Calamanco High School has a population of 1,417 students, but it is losing students at an average rate of 109 students per year. This school used to house more than 5,000 students but the district has been struggling in recent years and losing people to more affluent nearby districts and cities. Some communities are concerned about this decreasing rate because there will be a time when the district may shut the school down. Let xx represent the number of full years that the school is operational. Part A: If this trend continues, write a function that gives the student population at Calamanco High School after xx years before the school is shut down by the district. Part B: What constraints does this situation put on the domain and range of the function?

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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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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A newly appointed school district superintendent releases a plan for the
next 20 years that affects the schools within the boundaries of the district.
In this plan, there is new policy that states that if a high school has less
than 100 students, then the school will be shut down. Calamanco High
School has a population of 1,417 students, but it is losing students at an
average rate of 109 students per year. This school used to house more
than 5,000 students but the district has been struggling in recent years and
losing people to more affluent nearby districts and cities. Some
communities are concerned about this decreasing rate because there
will be a time when the district may shut the school down. Let xx represent
the number of full years that the school is operational.
Part A: If this trend continues, write a function that gives the student
population at Calamanco High School after xx years before the
school is shut down by the district.

Part B: What constraints does this situation put on the domain and range
of the function?

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