Question

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

*n*_{0}*e*^{rt}.

Round your

*n*_{0}

value to the nearest whole number. Round your r value to two decimal places.)

Answer #1

**From the population growth model,**

**The population is 600 after 2 hours implies**

**The population is 38400 after 6 hours
implies**

**Divide Eq2 by Eq1**

**Therefore, the exponential model is**

**Find A0**

**Hence, the exponential growth model is**

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?

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.

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 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 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 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
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
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c.)after how many hours will the number if bacteria
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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 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?

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