Some populations, such as bacteria, can be expected under the right conditions to show exponential growth. If 2000 bacteria of a certain type are incubated under ideal conditions, then after t hours we expect to find 2000 ✕ 1.07t bacteria present. How many bacteria would we expect to find after 12 hours? 2 days?

Q: A bacterian culture has a initial population of 10000. If its population declines to 5000 in 6…

A: Exponential model ⇒Pt=Ae-kt⇒A=initial population ⇒k=decay rate ⇒t=Time in hours⇒Pt=Population at…

Q: A population numbers 1,650 organisms initially and increases by 6.8% each year. Suppose P represents…

A: The general form of exponential model is, P=P01+rt where, P0 is initial amount, r is rate of growth,…

Q: The count in a bacteria culture was 100 after 10 minutes and 1900 after 40 minutes. Assuming the…

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Q: A colony of bacteria is grown under ideal conditions in a laboratory so that the population…

A: Consider the following exponential function: y=abx                                  ...... 1 Here,…

Q: A species of beetles grows 41% every year. Suppose 100 beetles are released into a field construct…

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Q: The population of minnows in the lagoon is 5,400, but the population will decay exponentially. If…

A: The formula for the exponential decay model is, y=C1-rt Here, y is the final amount C is the initial…

Q: In the exponential growth or decay function, explain the circumstances that cause k to be positive…

A: One of the most prevalent applications of exponential functions involves growth and decay models.…

Q: An extremely large flywheel in a generator is rotating at 1980 revolutions per minute at full power.…

A: Initial power of flywheel No=1980 rev/min After 8 minutes,N=1564 rev/min

Q: Suppose a population of insects increases according to the law of exponential growth. There were 130…

A: Since the population increases by law of exponential growth.

Q: Suppose that 30 fruit flies are placed in a breeding container that can support at most 3000 flies.…

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Q: If the population of a Nigeria doubles in 9 years, find the growth rate k. Assume that the population…

A: So the equation for the exponential population with growth rate k is given by: Where, A= initial…

Q: The population of a certain rodent at a dump site can be modeled by the exponential function…

A: The objective of the question is determine the population in the year of 2000.

Q: A population of protozoa is growing exponentially. On day zero, the population consists of 7…

A: Population model