*************Just need help with getting the correct answer for B....***********
ID: 3189971 • Letter: #
Question
*************Just need help with getting the correct answer for B....***************** Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 10000. The number of fish tripled in the first year. (a) Assuming that the size of the fish population satisfies the logistic equation, find an expression for the size of the population after t years. P(t) = 400*3^(t) (b) How long will it take for the population to increase to 5000? ____________________ years I keep getting for part B- 2.299 years but it won't accept my answer or 3 or 2.3 years.....help please!Explanation / Answer
a)
That means the population will triple each year
The equation would look like
Y = 400 * 3^t
where y = the population
and t = the time in years
so after one year the population would equal
Y = 400 * 3^1
Y = 1200 which is triple
b)
The population equal 5000
5000 = 400 * 3^t
5000 / 400 = 3^t
12.5 = 3^t
log 12.5 = t * log 3
t = log 12.5 / log 3
t = 2.299 years
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