Answer:
P(t) = 100t +2600
4100 in 2005
Step-by-step explanation:
You are given two points for (year, population) = (t, p):
(4, 3000), (8, 3400)
It is useful to use the two-point form of the equation for a line.
p = (p2 -p1)/(t2 -t1)(t -t1) +p1
p = (3400 -3000)/(8 -4)(t -4) +3000
p = 400/4(t -4) +3000
p = 100t +2600
P(t) = 100t +2600 . . . . written in functional form
In 2005, the population is predicted to be ...
P(15) = 100×15 +2600 = 4100