# Algebra

posted by .

The number of bacteria in a certain population increases according to an exponential growth model, with a growth rate of 11% per hour. An initial sample is obtained from this population, and after four hours, the sample has grown to 4130 bacteria. Find the number of bacteria in the initial sample. Round your answer to the nearest integer.

• Algebra -

db/dt = 0.11 b
db/b = .11 dt
ln b = .11t + c'
b = e^(.11 t + c') = C e^.11t)
where C is b at t = 0
when t = 4
b = 4130 = C e^.44
ln 4130 = ln C + .44
8.33 =ln C + .44
ln C = 7.89
C = 2670

• Algebra -

Thanks

## Similar Questions

1. ### Calc

The number of bacteria in a culture is increasing according to the law of exponential growth. There are 125 bacteria in the culture after 2 hours and 350 bacteria after 4 hours. a) Find the initial population. b) Write an exponential …
2. ### Math

Suppose that the number of bacteria in a certain population increases according to an exponential growth model. A sample of 2600 bacteria selected from this population reached the size of 2873 bacteria in two and a half hours. Find …
3. ### algebra

The number of bacteria in a certain population increases according to a continuous growth model, with a growth rate parameter of 25% per hour. An initial sample is obtained from this population, and after six hours, the sample has …
4. ### Algebra

The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 3.7% per hour. How many hours does it take for the size of the sample to double?
5. ### homework

The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 3.9% per hour. How many hours does it take for the size of the sample to double?
6. ### algebra

the number of bacteria in a certain population is predicted to increase according to a continuous exponential growth model at a relative rate of 6% per hour. suppose that a sample culture has an initial population of 94 bacteria. find …
7. ### algebra

At the start of an experiment, there are 100 bacteria. If the bacteria follow an exponential growth pattern with a growth rate of 2%, what will be the population after 5 hours (round to the nearest bacteria)?
8. ### algebra

Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 11% per hour. Suppose also that a sample culture of 1000 bacteria is obtained …
9. ### Algebra

Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 1000 bacteria selected from this population reached the size of 1274 bacteria in five hours. Find …
10. ### Algebra

Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 1800 bacteria selected from this population reached the size of 2272 bacteria in five hours. Find …

More Similar Questions