Scientists measure a bacteria population and find that

Answered question

2022-04-21

Scientists measure a bacteria population and find that it is 2,700. Three days later, they find that the population has doubled. Write a function f(d) that could describe the bacteria population d days after the scientists first measured it, assuming it grows exponentially?

Answer & Explanation

nick1337

nick1337

Expert2022-07-31Added 777 answers

Suppose we have exponential growth function is
f(d)=f0(b)d   (1)
Where f(d) = final amount of bacteria a days
f0 = initial amount of bacteria (d=0)
b = growth factor
Now, given when d = 3 days,
f(t)=2f0, then we have
2f0=f0(b)3
b3=2
b=21/3
From (1), we have
f(d)=f0(21/3)d=f0(2)d/3
Put f0=2.700 (given)
we get
f(d)=2.700(2)d/3

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