Answer:
3,879
Step-by-step explanation:
To find the estimate of the number if students to enrol in 2017, we need to deriving a linear equation from the function table given.
Thus, this equation can be writen as y = mx + b
Where,
x = independent variable = t
y = dependent variable = h
m and b are constants, m = rate if change of h to t, while b is the y-intercept or value of h when t = 0.
Let's find the equation by finding m and b
m = (3042-2892)/(2011-2010) = 150/1
m = 150
Let's find b
y = mx + b
we can use any given pair from the table to represent (x, y). Let's use (2010, 2829)
Thus,
2829 = 150(2010) + b
2829 = 301,500 + b
Subtract 301,500 from both sides
2829 - 301,500 = b
- 298,671 = b
Our linear equation for the function table would be h = 150t +(-298,671)
h = 150t - 298,671
==>Using the equation gotten, number if students to enrol in 2017 would be:
h = 150(2017) - 298,671
h = 302,550 - 298,671
h = 3,879
