Question

The rate of growth of a certain cell culture is proportional to its size. In 8 hours a population of 1 million cells grew to 9 million. How large will the cell culture be after 20 hours?

Answer #1

A bacteria culture initially contains 40 cells and grows at a
rate proportional to its size.
After 2 hours the population has increased to 120.
a) Find an expression (in exact simplest form) for the number of
bacteria after t hours.
b) Find the rate of growth at t = 5 hours. Round your final answer
to nearest whole number.

In a certain culture where the rate of growth is proportional to
the number present, the number triples in 3 days. If at the end of
7 days there are 10 million bacteria present in the culture how
many were present initially?

A bacterial population starts with 10,000 bacteria and grows at
a rate proportional to its size. After 2 hours there are 40,000
bacteria.
a) Find the growth rate k. Round k to 3 decimal places. b) Find the
number of bacteria after 5 hours.
c) When will the population reach 1 million?
d) What is the doubling time?

Bacteria grown in a certain culture
increase at a rate proportional to the amount present. If there are
3000 bacteria present initially and there are 5000 in 1 hour, how
many bacteria will there be in 3.5
hours?

If the growth rate of bacteria in a culture medium is directly
proportional to the difference between the number of bacteria and a
certain optimal number N¯, derive an expression for the number of
bacteria n as a function of the time t given that the initial
number of bacteria placed in the culture mediam is N0 and that the
constant of proportionality is λ. Sketch, by inspection, the graph
of n = n(t). How long does it take for...

3. The growth rate of Escherichia coli, a common bacterium found
in the human intestine, is proportional to its size. Under ideal
laboratory conditions, when this bacterium is grown in a nutrient
broth medium, the number of cells in a culture doubles
approximately every 20 min. a. If the initial population is 10,
determine the function Q(t) that expresses the growth of the number
of cells of this bacterium as a function of time t (in minutes).
Q(t)=________ b. If...

The population of a bacteria in a culture grows at a rate
proportional to the number of bacteria present at time t. After 3
hours it is observed that 400 bacteria are present. After 10 hours
2000 bacteria are present. What was the initial number of
bacteria?

The population of bacteria in a culture grows at a rate
proportional to the number of bacteria present at time t. After 2
hours from the beginning, it is observed that 500 bacteria are
present. After 5 hours (from the beginning), 1500 bacteria are
present. What is the initial number of bacteria P0 ?
Hint: Use P(t) = P0ekt
A - 240 at beggining
B - 198 at beggining
C - 541 at the beggining
D - None of the...

During a research experiment, it was found that the number of
bacteria in a culture grew at a rate proportional to its size. At
6:00 AM there were 4,000 bacteria present in the culture. At
noon, the number of bacteria grew to 4,700.
How many bacteria will there be at midnight?

Growth Curves and Logistic Equation
You are working with a culture of Chinese Hamster Ovary Cells
(CHO). Given:
-Specific growth rate=1.2 days^-1
-Initial cell population=10^5 cells
-Maximum population that can be sustained by the
environment=10^8 cells
-There is a lag phase, 0 days<t<1 days, during which no
growth occurs. Exponential growth begins at t=1 day.
Write an equation that describes the number of cells as a
function of time. Plot cell concentration vs time on a semilog
plot. On your...

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