Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 2400 bacteria selected from this population reached the size of 3058 bacteria in six hours. Find the hourly growth rate parameter.

Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 2400 bacteria selected from this population reached the size of 3058 bacteria in six hours. Find the hourly growth rate parameter.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 9T

See similar textbooks

Related questions

Q: suppose the population of a certain bacteria in a laboratory sample is 100. if it is doubles in…

A: Given: The population of a certain bacteria in a laboratory sample is 100 and it is doubles in…

Q: picture included

Q: The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2…

A: The exponential growth model is defined as, y = a(1 + r)t, where a is the initial amount, r is the…

Q: If the population of a small city is 45,000. If the population grows continuously by 5% per year,…

A: Here we use compound interest based formula. If p is present population, r is rate of growth of…

Q: The number of bacteria in a certain population is predicted to increase according to a continuous…

Q: A biologist has a 252-gram sample of a radioactive substance. Find the mass of the sample after four…

A: Let the initial mass No=252 gmmass after t hours=Ntgiven rate , r=19% , per hour=0.19

Q: the number of bacteria in a certain population is predicted to increase according to a continuous…

A: The number of bacteria in a certain population is predicted to increase according to a continuous…

Q: The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2…

Q: The number of bacteria in a certain population increases according to a continuous exponential…

A: Continuous growth model is P = P0.ert where P0 = initial population and. P = final population…

Q: The number of bacteria in a certain population is predicted to increase according to a continuous…

A: Solve for the bacteria after the 6 hour

Q: The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree…

A: Given that the half-life of carbon-14 is 5600 years and if a piece of charcoal made from the wood…

Q: If the population of the earth was found to be 3.5 billion in 1970, and Is Increasing at a rate of…

A: The population of the earth was 3.5 billion in 1970, We are to find at what year population of…

Q: A population is exhibiting geometric growth and contains 50 individuals in the initial generation…

A: Introduction: An exponential growth occurs when a fixed number is raised to x, but a geometric…

Q: A certain bacterium is known to grow according to the Malthusian model, doubling itself every 8…

Q: The number of bacteria in a certain population increases according to a continuous exponential…

A: The general form of a continuous exponential growth model is given as: P=P0ekt…

Q: The population of a state is known to grow at a rate proportional to the number of people presently…

A: Follow the steps.

Q: The number of bacterla in a certain population is predicted to increase according to a continuous…

Q: The population of bacteria cells in a dish decays exponentially at a rate of 5% per hour. If there…

A: Given, The population of bacteria cells in a dish decays exponentially at a rate of 5% per…

Q: The number of bacteria in a certain population increases according to a continuous exponential…

Q: Suppose that the number of bacteria in a certain population increases according to a continuous…

Q: A news article states that the number of people infected with a particular virus has grown by 20% in…

Q: sample of a radioactive isotope had an initial mass of 490 mg in the year 1995 and decays…

A: Given: Initial mass of the isotopes in the year 1995 is 490 mg. In 1998, sample's mass…

Q: If a piece of machinery depreciates continuously at an annual rate of 4%, how many years will it…

A: To find: The number of years it will take for the value of machinery to halve. Concept used: The…

Q: The number of bacteria in a certain population increases according to a continuous exponential…

A: topic - exponential function

Q: Suppose that the town of Grayrock had a population of 10,000 in 2014 and a population of 12,000 in…

A: The exponential growth can be generalized as y=art where a represents the initial value, y…

Q: The size of a threatened population of bottlenosed dolphins is decaying exponentially with a…

A: To find out the population after 9 months.

Q: A biologist has a 3512-gram sample of a radioactive substance. Find the mass of the sample after six…

A: Explained below

Q: Assume that the population of a certain city increases at a rate proportional to the number of…

A: Note: There are two problems of same type. We will solve the first one for you. Kindly repost the…

Q: A biologist has a 991-gram sample of a radioactive substance. Find the mass of the sample after six…

A: For the following continuous exponential decay,

Q: The population of a city is 89,000. If the population grows continuously by 3.2% per year, in how…

Q: In the Malthusian model, population grows exponentially while food production grows linearly. For…

A: Current population is 889 Growth rate is 7% Population at subsistence level is 1125 Food production…

Q: The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2…

Q: The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree…

Q: A population with a growth rate equal to zero is

A: The nature of the pop. of a particular area to increase with respect to time is defined as…

Q: If the population of a small city is 55,000. If the population grows continuously by 5% per year,…

Q: The number of bacteria in a culture decreases according to a continuous exponential decay model. The…

A: Exponential decay is given by :y=y0e-ktwhere y0=initial populationk = decay constantt = time

Q: The number of bacteria in a certain population increases according to a continuous exponential…

A: Doubling time is the amount of time it takes for a value or quantity to double in size whenever the…

Q: A species of endangered tigers has a population in 2020 of about 900, and that number is expected to…

Q: The number of days that elapse between the beginning of a calendar year and the moment a high-risk…

A: Solution:- An insurance company expects that 30% of high-risk drivers will beinvolved in an…

Q: A biologist has a 553-gram sample of a radioactive substance. Find the mass of the sample after five…

Q: In the 2000 U.S. Census, a small city had a population of 50,000. By 2010, the population had…

Q: If a function decreases by 7% each year, then the yearly decay factor is what?

A: If a function decreases by 7% each year, then the yearly decay factor is what

Q: In the 2000 U.S. Census, a small city had a population of 55,000. By 2010, the population had…

Q: Suppose a variable is growing continuously at a nominal rate of 10% per year. What is the effective…

Q: The number of bacteria in a certain population is predicted to increase according to a continuous…

A: Given problem The number of bacteria in a certain population is predicted to increase according to a…

Q: The number of bacteria in a certain population increases according to a continuous exponential…

Q: A biologist has an 884-gram sample of a radioactive substance. Find the mass of the sample after…

Q: At the beginning of an experiment, there are 100 bacteria. If the bacteria follow an exponential…

A: At the beginning of an experiment, there are 100 bacteria. If the bacteria follow an exponential…

Q: A particular city had a population of 23,000 in 1910 and a population of 28,000 in 1950. Assuming…

Question

Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of

2400

bacteria selected from this population reached the size of

3058

bacteria in six hours. Find the hourly growth rate parameter.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Suppose an investment account is opened with aninitial deposit of 10,500 earning 6.25 interest,compounded continuously. How much will theaccount be warm after 25 years?
Recent data suggests that, as of 2013, the rate of growth predicted by Moore’s Law no longer holds. Growth has slowed to a doubling time of approximately three years. Find the new function that takes that longer doubling time into account.
With what kind of exponential model would doubling time be associated? What role does doubling time play in these models?
Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours after the administration of medication. At this rate of decay, how many bacteria will there be 24 hours from the start of the experiment?
With what kind of exponential model would half-life be associated? What role does half-life play in these models?
An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded continuously. How much will theaccount be worth after 15 years?
On the day a grandchild is born, a grandparent deposits $2500 in a fund earning 7.5% interest, compounded continuously. Determine the balance in the account on the grandchild’s 25th birthday.