A population of protozoa develops with a constant relative growth rate of 0.7233 per member per day. On day zero the population consists of four members. Find the population size after eight days. Round to the nearest whole number.
answer : _______ Members
A population of protozoa develops with a constant relative growth rate of 0.7233 per member per day.?
2009-10-30 8:16 pm
回答 (2)
2009-10-30 9:36 pm
✔ 最佳答案
P=4e^(07233*8)P=1303 members
2009-10-30 9:36 pm
Usually we would write
dp/dt = kp
where k is what I assume is the relative growth rate. But the units don't match up: you have member/day on the left side, and 1/day ("per day") on the right side.
Since I think this question is about exponential growth, I will proceed with the equation stated above; its solution is
p(t) = p(0) e^(kt)
Here p(0) = 4 and k = 0.7233, so
p(8) = 4 e^(0.7332*8) = 1411 rounded to the nearest integer.
dp/dt = kp
where k is what I assume is the relative growth rate. But the units don't match up: you have member/day on the left side, and 1/day ("per day") on the right side.
Since I think this question is about exponential growth, I will proceed with the equation stated above; its solution is
p(t) = p(0) e^(kt)
Here p(0) = 4 and k = 0.7233, so
p(8) = 4 e^(0.7332*8) = 1411 rounded to the nearest integer.
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