question archive 1) A island has a population of 20,000 birds
1) A island has a population of 20,000 birds
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1) A island has a population of 20,000 birds. A disease starts where 10 birds have gotten infected, and 4 days later, 200 birds are infected. the rate at which the disease spreads is proportional to the number of birds infected and the quotient of the number of birds not yet infected and the population of the island.
(I know, The quotient of a and b is ab but am struggling at this part a bit)
Find an equation for the number of birds infected at time t (t in days).
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You are struggling with the rate at which the disease spreads because you are treating this variable as a decay constant K, which is not correct. The decay constant is the rate at which population is decreasing at time t. While the rate at which disease spreads shows the number of infected with respect to the total population.
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