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A population of fish in a lab grows at a rate proportional to its size. Initially, the lab orders 100 fish. Once the population hits
A population of fish in a lab grows at a rate proportional to its size. Initially, the lab orders 100 fish. Once the population hits 300, the lab finds that the growth rate is around 3 new fish per day. Let y(t)y(t) represent the size of the fish population tt days after the initial order of fish arrived. Use this information to find the values below.
y(0) = ?
Proportionality constant kk (rounded to 2 decimal places) =?
y(4) (rounded to nearest whole fish) = ?
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