Question

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.

Answer #1

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...

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?

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

A given bacteria culture initially contains 1500 bacteria and
doubles every half hour. The number of bacteria p at a given time t
(in minutes) is given by the formula p(t)=1500e^(kt) for some
constant k. (You will need to find k to answer the following.)
a) Find the size of the bacterial population after 110
minutes.
b) Find the size of the bacterial population after 8 hours.

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...

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?

This exercise uses the population growth model.
The count in a culture of bacteria was 600 after 2 hours and 38,400
after 6 hours. Find a function that models the number of bacteria
n(t) after t hours. (Enter your answer
in the form
n0ert.
Round your
n0
value to the nearest whole number. Round your r value to two
decimal places.)

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?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 7 minutes ago

asked 9 minutes ago

asked 38 minutes ago

asked 45 minutes ago

asked 45 minutes ago

asked 49 minutes ago

asked 50 minutes ago

asked 54 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago