o -3 points SPreCalc7 4.6.013. My Notes This exercise uses the population growth

Question

o -3 points SPreCalc7 4.6.013. My Notes This exercise uses the population growth model A culture starts with 8700 bacteria. After 1 hour the count is 10,000. (a) Find a function that models the number of bacteria n(t) after t hours. (Round your r value to three decimal places) n(t) (b) Find the number, of bacteria after 2 hours. (Round your answer to the nearest hundred.) bacteria (c) After how many hours will the number of bacteria double? (Round your answer to one decimal place.) hr Need Help? ?Uniaan watchit

Explanation / Answer

n(t) = n0ekt

a. 10000 = 8700ek(1)

     100/87 = ek

      k = 0.139

     n(t) = 8700 e0.139t

b. n(2) = 8700 e0.139(2) = 11488 .23

c .   Double of 8700 = 17400

     17400 = 8700 e0.139t

      ln 2 = 0.139t

     t = 5 hours

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