Answer:
Predicted enrolment = 15596
Step-by-step explanation:
In this scenario,
x represent the years
y represents the number of enrolment
We would write equation in the slope intercept form which is expressed as
y = mx + c
where
m represents slope
c represents y intercept
We would calculate the slope by applying the formula,
m = (y2 - y1)/(x2 - x1)
From the information given,
x1 = 1987, y1 = 11800
x2 = 1998, y2 = 13540
m = (13540 - 11800)/(1998 - 1987) = 1740/11
We would find the y intercept by substituting m = 1740/11, x = 1987 and y = 11800 into the slope intercept equation. We have
11800 = 1740/11 * 1987 + c
11800 = 3457380/11 + c
c = 11800 - 3457380/11
c = - 3327580
The equation would be
y = 1740x/11 - 3327580/11
For 2011, we would substitute x = 2011 into the equation. It becomes
y = 1740/11 * 2011 - 3327580/11
y = 15596
Predicted enrolment = 15596