# Math

The doubling period of a bacteria culture is 35 minutes and it starts with 1400 bacteria. How many bacteria will there be after 3 hours? Round your answer to the nearest tenth.

1. 👍 0
2. 👎 0
3. 👁 281
1. 2 = e^35 k
ln 2 = 35 k
k = .0198
so
a = 1400 e^.0198*3*60
a = 1400 e^3.565
a = 49,475.2

1. 👍 0
2. 👎 0
posted by Damon
2. thanks for you help :D

1. 👍 0
2. 👎 0
posted by Han
3. You are welcome.

1. 👍 0
2. 👎 0
posted by Damon

## Similar Questions

1. ### math 12

The bacterium Escherichia coli, or E-coli, has a doubling period of 0.32 h. If a culture starts with 100 bacteria: (a) Determine the equation for the number of bacteria, y, in x hours. b) How many hours will pass before there are

asked by saya on May 6, 2012
2. ### Math

The doubling function (y = y base0 2^(1/D)) can be used to model exponential growth when the doubling time is D. The bacterium Escherichia coli has a doubling period of 0.32 h. A culture of E. coli starts with 100 bacteria. a)

asked by NeedHelp on November 26, 2016
3. ### 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

asked by naseba on March 30, 2012
4. ### Math

A culture of bacteria in a petri dish is doubling every hour. If there are 100 bacteria at time t=0, how many bacteria will there be in 12 hours?

asked by Anonymous on November 7, 2010
5. ### calculus

The count in a bacteria culture was 600 after 10 minutes and 1100 after 30 minutes. What was the initial size of the culture?Find the doubling period. Find the population after 80 minutes. When will the population reach 13000?

asked by Nycw on February 1, 2013
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

asked by amelia on December 15, 2009
2. ### math

Bladder infections are often caused when the bacteria E. coli reach the human bladder. Suppose that 3000 of the bacteria are present at time t = 0. Then t minutes later, the number of bacteria present will be a) How many bacteria

asked by Emmanuel on March 24, 2014
3. ### 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,