Question

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*(

(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 size? (Round
your answer to one decimal place.)

hr

Answer #1

Please give it a thumbs up if you like the answer. Comment if any problem in solution. :)

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.)

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 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

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.

If $2000 is invested at 6% interest, find the value of the
investment (in dollars) at the end of 4 years if the interest is
compounded continuously. The value is $____
A bacteria culture starts with 1000 bacteria and the population
triples after 6 hours. Find an expression for the number y(t)y(t)
of bacteria after t hours.
y(t)=
If the bacteria in a culture double in 4 hours, how many hours
will it take before 5 times the original number...

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 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?

1. Lactobacillus acidophilus is one of the many bacteria used to
turn milk into yogurt. The population P of a colony of 3600
bacteria at time t minutes can be modeled by the function P(x) =
3600(2)^t/73. How long does it take the population (in hours) to
reach 1,792,000? You may round to the nearest 5-minute increment.
Please show all of your work and submit those with your answer.

Under ideal conditions a certain bacteria population is known to
double every five hours. Suppose that there are initially 200
bacteria. (a) What is the size of the population after 20 hours?
bacteria (b) What is the size of the population after t hours? P =
(c) Estimate the size of the population after 34 hours. (Round your
answer to the nearest integer.) bacteria (d) Graph the population
function. (e)Estimate the time for the population to reach 60,000.
(Round your...

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 11 minutes ago

asked 18 minutes ago

asked 18 minutes ago

asked 28 minutes ago

asked 29 minutes ago

asked 35 minutes ago

asked 48 minutes ago

asked 55 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago