SOLUTION: The fox population in a certain region has a continuous growth rate of 5 percent per year. It is estimated that the population in the year 2000 was 9100. (a) Find a function t

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The fox population in a certain region has a continuous growth rate of 5 percent per year. It is estimated that the population in the year 2000 was 9100. (a) Find a function t      Log On


   



Question 862833: The fox population in a certain region has a continuous growth rate of 5 percent per year. It is estimated that the population in the year 2000 was 9100.
(a) Find a function that models the population t years after 2000 (t=0 for 2000).
Your answer is P(t) =
(b) Use the function from part (a) to estimate the fox population in the year 2008.
Your answer is (the answer must be an integer)

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+P%28t%29+=+9100%2A%28+1+%2B+.05+%29%5Et++
when year is 2000, +t+=+0+
when year = 2008, +t+=+8+
+P%288%29+=+9100%2A1.05%5E8+
+P%288%29+=+9100%2A1.47746+
+P%288%29+=+13444.886+
Rounded off,
+P%288%29+=+13445+
-----------------
check:
+13445+=+9100%2A%28+1+%2B+.05+%29%5E8++
+1.05%5E8+=+13445+%2F+9100+
+1.05%5E8+=+1.4775+
+1.4775+=+1.4775+
OK