SOLUTION: A population is increasing at a rate of 0.6% each year. The population is currently 3000. Find a function p(t)that gives the size of the population t years from now.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: A population is increasing at a rate of 0.6% each year. The population is currently 3000. Find a function p(t)that gives the size of the population t years from now.       Log On


   

Question 62416: A population is increasing at a rate of 0.6% each year. The population is currently 3000. Find a function p(t)that gives the size of the population t years from now.

Found 2 solutions by jai_kos, uma:
Answer by jai_kos(139) About Me  (Show Source):
You can put this solution on YOUR website!
We know the formula
The Extra population is given by = Present population * rate of the
population * time in
years
Extra population = 3000 * 0.6 * t
Now population after t years is given = 3000 + 3000 * 0.6 * t
p(t) = 3000 + 1800t
Therefore the function p(t)= 3000 + 1800t

Answer by uma(370) About Me  (Show Source):
You can put this solution on YOUR website!
The current population = 3000
Rate of increase every year = 0.6%
= 0.006
Population next year = 3000* 1.006
Population in the second year = 3000*1.006*1.006
= 3000*(1.006)^2

Thus the population 't' years from now would be = 3000*(1.006)^t
So p(t) = 3000*(1.006)^t
Good luck!!!