Scientists measure a bacteria population and find that it is

Vagotonusybk

Vagotonusybk

Answered question

2022-02-11

Scientists measure a bacteria population and find that it is 10,000. Five days later, they find that the population has doubled. Which function f could describe the bacteria population d days after the scientists first measured it,assuming it grows exponentially? Select the correct choice.

Answer & Explanation

Detsavattpk9

Detsavattpk9

Beginner2022-02-12Added 10 answers

Suppose we have exponential growth function is
f(d)=f_0(b)^d - (1)
Where f(d) = final amount of bacteria a days
f_0 = initial amount of bacteria (d=0)
b = growth factor
Now, given when d = 5 days,
f(t)=2f_0, then we have
2f_0=f_0(b)^5
b^5=2
b=2^(1/5)
From (1), we have
f(d)=f_0 (2^(1/5))^d = f_0 (2)^(d/5)
Put f_0=10.000 (given)
we get
f(d)=1000(2)^(d/5)

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