SOLUTION: The size of a coyote population at a national park increases at a rate of 5.1% per year. If the size of the current population is 193. Find how many coyotes should be in 4 years. U

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The size of a coyote population at a national park increases at a rate of 5.1% per year. If the size of the current population is 193. Find how many coyotes should be in 4 years. U      Log On


   



Question 138764: The size of a coyote population at a national park increases at a rate of 5.1% per year. If the size of the current population is 193. Find how many coyotes should be in 4 years. Use the function f(x)=193e^0.051t and round to the nearest whole number.
Thanks to anyone who may be able to help me explain this to my daughter

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The size of a coyote population at a national park increases at a rate of 5.1% per year. If the size of the current population is 193. Find how many coyotes should be in 4 years. Use the function f(x)=193e^0.051t and round to the nearest whole number.
:
The given equation:
:
f(x) = 193+%2A+e%5E%28.051t%29
where:
f(x) = no. of foxes after t years
193 = initial number of foxes
t = no. of years
:
In this problem it's 4 years, therefore t=4
:
f(x) = 193+%2A+e%5E%28.051%2A4%29
;
f(x) = 193+%2A+e%5E.204
:
Find the value of e^.204 on a good calc
f(x) = 193 * 1.2263
:
f(x) = 237 foxes after 4 year