Question

the population of a colony of mosquitoes obey the law of uninhibited growth. if there are 1000 mosquitoes initially and there are 1400 after one day, what is the size of the colony after four days? how long is it until there are 30,000 mosquitoes?

Answer #1

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the population of a colony of mosquitoes obeys the law
of uninhibited growth. If there are 1000 mosquitoes initially and
there are 1700 after one day what is the size of the colony after 3
days? how long is it until there are 90,000 mosquitoes?

Please show all work step by step
The growth of a bacterial colony is modeled by the function
P(t) =
2750e^.005t
where P(t) is the population
size, t days after the initial
measurement.
(a) Find the population size 32 days after the
initial measurement.
(b) How long will it take for the population to reach
7100.

A colony of bacteria initially has 500 individuals. After one
hour, the population grew to 1000 individuals. Assuming the growth
rate of bacteria is proportional to the population, determine the
following: (a) Determine an expression for the growth of bacteria
as a function of time. (b) Determine the population at 5.5 hours.
(c) Determine the rate of population growth at 5.5 hours.

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 population of a bacterial culture develops with constant
relative growth rate of 0.9758 per member per day. Initially the
population was one member. Determine the population size after 14
days.

A bacterial colony initially has 100 individuals. After one hour
the population grew 900 individuals. Assuming that the growth rate
of the bacterias is proportional to the population, determine the
following: a) Determine an expression for the growth of bacterias
as a function of time. b) Determine the population at 3.5 hours. c)
Determine the growth rate of the population at 3.5 hours.

A population of 10 yeast cells is put into a flask with growth
media that contains all of the nutrients required for growth. The
yeast has a doubling time of two hours; four hours after adding the
yeast to the flask the population size is 40 cells. After three
days, the population size stabilizes at around 500 cells. Is this
population exhibiting logistic or exponential growth? Explain.

Revisiting Exponential Growth
At time t = 0 a population has size 1000. Suppose it grows
exponentially, so that at
time t (years) it has size S(t) = 1000a
t
for some a and all t > 0.
a) Suppose that it doubles in size every 8 years. What is a?
b) After how many years is the population 32 000?
c) What is its instantaneous growth rate (individuals per year) at
t = 10?
d) What is its instantaneous...

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After several years of solid growth in real per capita GDP,
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