Problema Solution

The population of Cauchyville was 3,862 on January 1, 1972 and on April 1, 1986 the population had grown to 5,967.

(a) assuming the population grew linearly, find the function for the population with respect to time.

Answer provided by our tutors

This period of time spans 14.25 years, so the rate of change is

5967 / 14.25 = 418.74


expressed in an equation:

P(t) = 418.74 * t + 3862


where t = the number of years since 1972