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A population of protozoa develops with a constant relative growth rate of 0.7944 per member per day. On day zero the population consists of two members. Find the population size after six days

User Laidibug
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Answer:


y =y_o e^(kt)

Where
y_o = 2 the relative growth is
k =0.7944 and t represent the number of days.

For this case we can to find the population after the day 6 so then we need to replace t =6 in our model and we got:


y(6) =2 e^(0.7944*6) = 234.99 \approx 235

And for this case we can conclude that the population of protozoa for the 6 day would be approximately 235

Explanation:

We can assume that the following model can be used:


y =y_o e^(kt)

Where
y_o = 2 the relative growth is
k =0.7944 and t represent the number of days.

For this case we can to find the population after the day 6 so then we need to replace t =6 in our model and we got:


y(6) =2 e^(0.7944*6) = 234.99 \approx 235

And for this case we can conclude that the population of protozoa for the 6 day would be approximately 235

User Johannes Dorn
by
8.9k points

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