The number of students that Fairview High School have in 2006 is 1615 students.
This is a question of percentages.
Given that:-
The number of students in Jefferson High School had in 2000 are 1125.
The number of students in Jefferson High School had in 2005 are 1425.
The number of students in Fairview High School had in 2000 are 1275.
It is given in the question that the student body of Fairview High school grew at the same rate as Jefferson High School.
We have to find the number of students in Fairview High School in 2006.
Rate at which the number of students grew at the Jefferson High School =
[(1425-1125)/1125]*100 = (300/1125)*100 = 26 (2/3) % or 80/3 %
Let the number of students in the Fairview High School in 2005 be x.
Hence,
80/3 = [(x-1275)/1275]*100
x = 1615
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