Question

Consider the scenario: a town has an initial population of 75,000 it grows at a constant rate of 2,500 per year for 5 years find the linear function that models the towns population P as a function of the year, t, where t is the number of years since the model began. P(t)=

Answer 1

Since the constant rate is equal to

$m=2500\text{ people per year}$

the initial population is b= 75,00 and the line equation in slope-intercept is

$P(t)=mt+b$

The model is given by:

$P(t)=2500t+75000$