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Biologists stocked a lake with 500 fish and estimated the carrying capacity (the maximal population for the fish of
that species in that lake) to be 7400. The number of fish grew to 690 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 3700 (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 3700 (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
74001+13.8⋅e-0.350⋅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
7.50