Answer:
1.) 1169
2.) 7
3.) 167 students/year
4.) 1879
5.) 1879+167t
6.) 4050
Step-by-step explanation:
1.) Find the difference between the number of students in 2002 and 2009:
[tex]3382-2213=1169[/tex]
2.) Find the difference in the years:
[tex]2009-2002=7[/tex]
3.) To find the average growth, find the change between 2002 and 2009 and divide by 7.
[tex](3382-2213)/7=y\\1169/7=y\\167=y[/tex]
4.) To find the population of the students in the year 2000, we need to subtract the average growth time and the difference of years from 2213.
[tex]2213-167(2002-2000) = y\\2213-334=1879[/tex]
5.) Taking the equation above, and changing it to match the requirements, we get:
[tex]P = 1879+167t[/tex]
6.) Now find the difference between 2013 and 2000, and substitute for t to get:
[tex]P = 1879+167(2013-2000)\\P = 1879+167*13\\P = 4050[/tex]
