Question

The initial size of the bacteria is 1000. After 3 hours the bacterium count is 5000.

a. Find the function to model the bacteria population after t hours.(Round your r value to four decimal places.

b. Find the population after 6.5 hours. Round your answer to the nearest whole number.

c.When will the population reach 14,000? Round your answer to one decimal place.

Answer #1

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.)

Inspectors for the U.S. Department of Agriculture test a sample
of ground beef for the bacterium E. coli. The sample is
found to have a bacteria count of 150 colony-forming units per
milliliter (CFU/mL). The sample is kept at a temperature of 100° F,
and 2 hours later the meat has a count of 13,300 CFU/mL.
(a) Find the instantaneous growth rate r (per hour) for
the bacteria count in the sample. (Round your answer to three
decimal places.)
r...

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 bacteria in a culture increased from 600 at 1:00 P.M. to
3600 at 6:00 P.M.
(a) Find the expression for the number of bacteria t
hours after 1:00 P.M.
Q(t) =
(b) Find the number of bacteria that will be present at 7:00 P.M.
(Round your answer to the nearest whole number.)
bacteria
(c) When will the population reach 18,000? (Round your answer to
one decimal place.)
hr
(d) How long does it take the population to double in...

If a bacteria population starts with 125 bacteria and doubles in
size every half hour, then the number of bacteria after t
hours is
n = f(t) = 125 ·
4t.
(a) Find the inverse of this function.
t = log4(t125)
Explain its meaning.
a The inverse function gives the population after half an hour
has passed.
b The inverse function gives the population after 4 hours have
passed.
c The inverse function gives the number of hours that have...

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.
What was the initial size of the culture?

a
culture starts with 9000 bacteria. after one hour the count is
10100
a.) find relative growth rate of the bacteria. round answer to
4 decimal places
b.)find the number of bacteria after 2 hours (answer must be
an integer)
c.)after how many hours will the number if bacteria
double?

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 species of fish was added to a lake. The population size P (t)
of this species can be modeled by the following exponential
function, where t is the number of years from the time the species
was added to the lake.P (t) =1000/(1+9e^0.42t) Find the initial
population size of the species and the population size after 9
years. Round your answer to the nearest whole number as necessary.
Initial population size is : Population size after 9 years is:

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