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Biologists stocked a lake with `800` fish and estimated the carrying capacity (the maximal population for the fish of
that species in that lake) to be `3300`. The number of fish grew to 960 in the first year.
a)Find an equation for the number of fish `P(t)` after `t` years. Use a growth rate (`k`) value of three decimal places.
` P(t)=`
b) How long will it take for the population to increase to `1650` (half of the carrying capacity)?
It will take years.
You may enter the exact value or round to two decimal places.
a)Find an equation for the number of fish `P(t)` after `t` years. Use a growth rate (`k`) value of three decimal places.
` P(t)=`
b) How long will it take for the population to increase to `1650` (half of the carrying capacity)?
It will take years.
You may enter the exact value or round to two decimal places.
Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
`3300/(1+3.125*e^(-0.248*t))`
Box 2: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
4.59