Teaneck High had an enrollment of 10900 in 1982 and an enrollment of 13000 in year 2000. What is the predicted enrollment of Teaneck High in 2012 if we assume a linear model?

Predicted Enrollment

Question

Teaneck High had an enrollment of 10900 in 1982 and an enrollment of 13000 in year 2000. What is the predicted enrollment of Teaneck High in 2012 if we assume a linear model?

Predicted Enrollment

anonymous · Answer

Use those two points to find the equation of the line, then plug in the year you are looking for (2012). Does that help?

anonymous · Answer

well i did do that buy what number would be used for 2000
would it be 20

anonymous · Answer

Why not use 2000? Your two points can be (1982, 10900) and (2000, 13000).

anonymous · Answer

oh nvm then

anonymous · Answer

let me try it out then

anonymous · Answer

okay well i got the slope as 3/350

anonymous · Answer

so do i set it up as y-y1=m(x-x1)

campbell_st · Answer

you also need to use the initial population in your linear model.... 

the form should be 

y = mx + b         m = slope, b = y-intercept


slope   m = ( change in population)/(change in time)

then when you have the slope put it into 

y = mx + b

use either point to find the initial population, (y-intercept) 

and then you'll have your linear relationship. 

Lastly substitute x = 30 to find the student population in 2012