"A Bacteria Culture Contains 100 Cells and Grows at a Rate Proportional to its Size A bacteria culture contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 420. a) Find and expression for the number of bacteria after t hours P(t)=P(0)e^kt=100 b) Find the number of bacteria after 3 hours. P(t)=P(3)e^k3= (confused as to how to set this up) d) When will the population reach 10,000?"

beobachtereb

beobachtereb

Answered question

2022-09-18

A Bacteria Culture Contains 100 Cells and Grows at a Rate Proportional to its Size
A bacteria culture contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 420.
a) Find and expression for the number of bacteria after t hours
P ( t ) = P ( 0 ) e k t = 100
b) Find the number of bacteria after 3 hours.
P ( t ) = P ( 3 ) e k 3 = (confused as to how to set this up)
d) When will the population reach 10,000?

Answer & Explanation

Rayna Aguilar

Rayna Aguilar

Beginner2022-09-19Added 14 answers

P ( t ) = 100 e k t
P ( 1 ) = 100 e k 1 = 420
k = l n ( 4.2 )
b) is simply P(3)
c) solve P(x) = 10000

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?