SOLUTION: Solve the given problem related to population growth. The population of a city grows exponentially according to the function f(t) = 12,400(1.14)^t for 0 ≤ t ≤ 5 ye

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve the given problem related to population growth. The population of a city grows exponentially according to the function f(t) = 12,400(1.14)^t for 0 ≤ t ≤ 5 ye      Log On


   



Question 1007172: Solve the given problem related to population growth.
The population of a city grows exponentially according to the function
f(t) = 12,400(1.14)^t
for 0 ≤ t ≤ 5 years. Find, to the nearest hundred, the population of the city when t is the following number of years.
(a) 2 years

people
(b) 4.25 years

people

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Given this exponential growth equation
f%28t%29+=+12400%2A1.14%5Et
we just plug in the values for t and get
f(2) = 12400*1.14^2 = $16115.04
f(4.25) = 12400*1.14^4.25 = $21640.50