Question

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?

Answer #1

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?

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 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?

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...

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?

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.

The rate of growth dP/dt of a population of bacteria is
proportional to the square root of t with a constant coefficient of
7, where P is the population size and t is the time in days
(0≤t≤10). The initial size of the population is 600. Approximate
the population after 7 days. Round the answer to the nearest
integer.

The cells in a culture of bacteria conform to uninhibited
growth. Suppose there are 5,000 cells initially and 6,500 after 1
hour.
(a) How many cells are in the culture after 4 hours? (Round your
answer to the nearest whole number.)
________ cells
(b) How long will it take for the bacteria culture to reach 50,000
cells? (Round your answer to two decimal places.)
________ hr

As observed on earth, a certain type of bacteria is known to
double in number every 24 hours. Two cultures of these bacteria are
prepared, each consisting initially of one bacterium. One culture
is left on earth and the other placed on a rocket that travels at a
speed of 0.816c relative to the earth. At a time when the
earthbound culture has grown to 64 bacteria, how many bacteria are
in the culture on the rocket, according to an...

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