3. In Biology, it is found that the bacteria in a certain culture double every half-hour. If the initial number of bacteria in culture is 1000,
A. Find the defining equation for the number N of bacteria in culture after T hours, assuming that no bacteria die.
B. How many bacteria cells are present after 2 hours?

  1. Henry

    T = 0: N = 1000*2^0 = 1000.
    T = 1/2hr: N = 1000*2^1 = 2000.
    T = 1hr: N = 1000*2^2 = 4000.

    NOTE: The exponent is always equal to
    A. Eq: N = 1000*2^2T.

    B. 2T = 2*2 = 4.
    N = 1000*2^4 = 16000 Bacteria cells.

Respond to this Question

First Name

Your Answer

Similar Questions

  1. Math

    I'm not sure how to do this question 7. The growth of bacteria in culture can be described by the equation N1 = N0e' where N is the number of bactena at any time t, No is the initial number of bacteria, and k is a constant. The time …
  2. precalculus

    A bacteria culture initially contains 1500 bacteria and doubles every half hour. a) Find an expression for the number of bacteria after t hours. Q(t)= b) The number of bacteria after 20 minutes is (the answer must be an integer) c) …
  3. pre calculus

    if there are initial 2500 bacteria in a culture, and the number of bacteria double each hour, the number of bacteria after t hours cab n be found using the formula=N=2500(2^t).how long will it take the culture to grow to 75,000 bacteria.
  4. Algebra 2

    If there are initially 1500 bacteria in a culture, and the number of bacteria double each hour, the number of bacteria after t hours can be found using the formula N=1500(2^t). How many bacteria will present after 7 hours?
  5. calculus

    2. The rate of change in the number of bacteria in a culture is proportional to the number present. In a certain laboratory experiment, a culture has 10,000 bacterial initially, 20,000 bacteria at time t1 minutes, and 100,000 bacteria …
  6. Math

    I need some help. A biologist finds that the population of a certian type of bacteria double seach half-hour. An initial culture has 60 bacteria. 1. What is the population after 3 hours?
  7. algebra

    Two Questions: 1) A certain radioactive isotope has leaked into a small stream. 100 days later after the leak 10% of the original amount of the substance. Determine the half-life of this radioactive isotope. 2) During a research experiment, …
  8. College Algebra

    The number of bacteria in a certain culture increased from 500 to 1000 between 7:00 A.M. and 9:00 A.M. Assuming growth is exponential, the number f(t) of bacteria t hours after 7:00 A.M. is given by f(t) = 500(2)^t/2. (a) Estimate …
  9. Algebra

    (I skipped the lengthy work problem background as it is irrelevant) The number of bacteria needed to break down an oil spill is 1000000 per millitre of oil. The bacteria double in number every two days.The starting concentration of …

    A lab has two bacteria cultures. Culture A contains 8*10^4 bacteria and culture B contains 4*10^6 bacteria. How do the two cultures compare in size?

More Similar Questions