Question

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?

Answer #1

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...

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.

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?

A bacteria culture starts with 1000 bacteria and grows at an
exponential rate. After 3 hours there will be 3000 bacteria. Give
your answer accurate to at least 4 decimal places
(a) Express the population P after t hours as
a function of t.
(b) What will be the population after 2 hours?
(c) How long will it take for the population to reach 1310?

The population of a town grows at a rate proportional to the
population present at time t. The initial population of 500
increases by 20% in 10 years. What will be the population in 30
years? (Round your answer to the nearest person.)How fast is the
population growing at t = 30? (Round your answer to two decimal
places.)

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...

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?

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 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 population of a community is known to increase at a rate
proportional to the number of people present at time t.
The initial population P0 has doubled
in 5 years.
Suppose it is known that the population is 9,000 after 3 years.
What was the initial population P0? (Round your
answer to one decimal place.)
P0 = ?????
What will be the population in 10 years? (Round your answer to
the nearest person.)
?????? person
How fast is the...

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