Ask questions and get helpful answers.

The number of bacteria in a culture is modeled by

(a) The initial number of bacteria is
(b) The relative rate of growth of this bacterium population is
(c) The number of bacteria after 3 hours is
(d) After how many hours will the number of bacteria reach 10,000?
Your answer is

I got the A=1710
I keep getting b and d wrong any suggestions. thanks in advance!

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
1 answer
  1. a. ok.


    c. ok.

    d. 1710*e^0.71t = 10,000
    e^0.71t = 10,000 / 1710 = 5.85
    0.71t*Lne = Ln5.85
    Divide both sides by Lne:
    0.71t = Ln5.85 / Lne = 1.7664
    t = 1.7664 / 0.71 = 2.49 Hours.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Answer this Question

Similar Questions

  1. Honors Algebra

    A biologist is researching a newly discovered species of bacteria. At time t=0 hours, she puts on hundred bacteria into a Petri dish. Six hours later, she measures 450 bacteria. Assuming exponential growth, what is the growth rate "k" for the bacteria?

  2. math

    A biologist grows a culture of bacteria as part of an experiment. At the start of the experiment, there are 75 bacteria in the culture. The biologist observes that the population of bacteria dobules evert 18 minutes. Which of the following equations best

  3. Calc

    A bacteria culture is growing at a rate of r(t) = 3e^0.4t thousand bacteria per hour after t hours. How much did the bacteria population increase during the first two hours? (Round your answer to three decimal places.)

  4. mathematics, biology

    A bacteria has a growth rate constant of 0.02. If initially, the number of bacteria is 1000, what is the time before it reaches a population of 100,000?

  5. Living Environment(please check answers)

    1-true 2-false 3-not enough info Transplanting genetic material into bacteria is a simple task- 2 Under certain conditions, bacteria reproduce at a rapid rate-3 The continued use of insulin from animals many cause harmful side effects in some people- 1 The

  6. World Geography

    Hello! Thanks for checking my question out! ____ 3. Which of the following best describes the difference between Western and Eastern cultures? (1 point) a) Western culture is linked to traditionalism while Eastern culture is linked to industrialization. b)

  7. Math

    A bacteria culture doubles every 15 minutes. If there are now 500 bacteria in the culture... How many will there be in an hour. N= 500 (2) ^60/15 The answer is 8000 but I am getting 1 x 10^12 what am I doing wrong?

  8. Algebra

    Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 1800 bacteria selected from this population reached the size of 2272 bacteria in five hours. Find the hourly growth

  9. Biology PleaSE help!

    Hello, this is my biology assignment. I filled the answer's but I just need your help to correct me if I'm wrong Thank you. 1) The discovery of restriction endonucleases was crucial to the development of recombinant DNA technology because these enzymes. a)

  10. Calculus

    A colony of bacteria is grown under ideal conditions in a laboratory so that the population increases exponentially with time. At the end of 2 hours, there are 4,800 bacteria. At the end of 4 hours, there are 19,00 bacteria. How many bacteria were present

Still need help?

You can ask a new question or browse existing questions.