Asked by Shay
The size of the beaver population at a national park increases at the rate of 5.1% per year. If the size of the current population is 151, find how many beavers there should be in 4 years. Use the function f(x)=151e^0.051t and round to the nearest whole number. (This is what I got so far: f(4)=151e^0.051t, would I then have to divide each side by e?)
Answers
Answered by
Reiny
No
first of all the function should say
f(t)=151e^0.051t and not f(x)=151e^0.051t
replace the t with 4 and you get
f(4)=151e^0.051(4)
= 151e^.204
= 185
(on your calculator you should have a function called e^x, usually found as the inverse or second function of the "ln" key.
on my calculator I pressed "shift" then "ln" then .204 then = to get 1.2262..
which I then multiplied by 151)
first of all the function should say
f(t)=151e^0.051t and not f(x)=151e^0.051t
replace the t with 4 and you get
f(4)=151e^0.051(4)
= 151e^.204
= 185
(on your calculator you should have a function called e^x, usually found as the inverse or second function of the "ln" key.
on my calculator I pressed "shift" then "ln" then .204 then = to get 1.2262..
which I then multiplied by 151)
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