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 the number of bacteria in the culture at 8:00 A.M., 10:00 A.M., and 11:00 A.M. (Round your answers to the nearest whole number.)
8:00 A.M. bacteria
10:00 A.M. bacteria
11:00 A.M. bacteria

asked by Kyle
  1. t = 1, t = 3 and t = 4

    plug and chug
    eg
    for t = 1 (which is 8am)
    500 * 2^(1/2)
    500 * 1.414 = 707

    posted by Damon

Respond to this Question

First Name

Your Response

Similar Questions

  1. MATH :)

    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,
  2. 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
  3. SCIENTIFIC NOTATION

    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? A. Culture A contains twice as many bacteria as Culture B B. Culture A contains
  4. 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
  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
  6. Algebra 1

    I am having trouble with a few questions....Wondering if you could help...My answers have the *** by them..... 1. A lab is growing bacteria in a culture dish. The amount of bacteria in the dish doubles every 3 hours. Initially,
  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. 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
  9. math

    The bacteria in a certain culture double every 7.5 hours. The culture has 6,500 bacteria at the start. How many bacteria will the culture contain after 3 hours? Select one:
  10. 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)

More Similar Questions