Pre Cal

posted by .

A certain strain of bacteria divides every four hours. If a colony is started with 10 bacteria, then the time t (in hours) required for the colony to grow to N bacteria is given by
t = 4(log(N/10)/log2

Find the time required for the colony to grow to one million bacteria. (Round your answer to two decimal places.)

  • Pre Cal -

    N=1000000
    you plug this number into the equation like shown below
    4(log(1000000/10))/log(2)
    log(1000000/10)=5
    log(2)=.301029
    4(5/.301029)=66.4387
    the answer is 66.44 if you round it to two decimal places.
    I hope this helps :)))

  • Pre Cal -

    Thank you!!!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    Two bacteria colonies are cultivated. The first colony has a doubling time of 2 hours and the second a doubling time of 3 hours. initially, the first colony contains 1,000 bacteria and the second colony 3,000 bacteria. At what time …
  2. 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 …
  3. Pre-Calc (exponential growth)

    A COLONY OF BACTERIA IS GROWN UNDER IDEAL CONDITIONS IN A LAB SO THAT THE POPULATION INCREASES EXPONENTIALLY WITH TIME. At the end of the three hours, there are 10,000 bacteria. At the end of the 5 hours, there are 40,000 bacteria. …
  4. Math

    A certain bacterium divides into 2 bacteria every 20 minutes. If there are four bacteria in the culture now, how many will there be in 4 hours, assuming that no bacteria die?
  5. 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 …
  6. Algebra

    Which of the following is an example of exponential growth or decay?
  7. Calculus

    The population of a colony of bacteria is modeled by the function p(x)=50(e^-x - e^-x^2)+10 ,for 0 ≤ x, where population P is in thousands, x is in hours, and x = 0 corresponds to the moment of introduction of a certain chemical …
  8. math show work please

    a bacteria colony doubles in 7hrs. How long does it tae the colony to triple Use N=No2^t/T. where No is the intial number of bacteria and T is the time in hours it take the colony to double.
  9. Math( 7th grade advanced math so 8th grade math)

    Bacterial populations can grow to enormous numbers in a matter of a few hours with the right conditions. If a bacterial colony doubles size every 15 minutes, how many bacteria will be present after 1 hour if the colony began with 4 …
  10. Math

    A certain type of bacteria is growing at an exponential rate that can be modeled by the equation y=ae^kt, where t represents the number of hours. There are 300 bacteria initially, and 1500 bacteria 5 hours later. How many bacteria …

More Similar Questions