Ask Question
2 August, 14:59

A culture started with 4,000 bacteria. after 7 hours, it grew to 5,200 bacteria. Predict how many bacteria will be present after 9 hours

+4
Answers (1)
  1. 2 August, 16:17
    0
    Start with trying to figure out rate (r):

    P = i•e^rt

    5200 = 4000•e^ (r•7)

    5200/4000 = 1.3 = e^7r

    ln 1.3 = ln (e^7r)

    .262 = 7r•1, because the ln (e) = 1

    r =.262/7 =.0375

    Now that you have the rate, plug in that for r and 9 hours as the new t, with again our 4200 as the i

    P = i•e^rt = 4200•e^ (.0375•9)

    P = 4200•1.401 = 5,886 bacteria
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “A culture started with 4,000 bacteria. after 7 hours, it grew to 5,200 bacteria. Predict how many bacteria will be present after 9 hours ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers