Algebra - The number of bacteria in a certain population increases according to a continuous?

Question

...  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 grown to 7081 bacteria. Find the number of bacteria in the initial sample. Round your answer to the nearest integer. 
Note: This is a continuous exponential growth model. 
And though the growth rate parameter is 25% per hour, the actual growth is not 25% each hour

Answer

so easy.
take the number of bacteria given (7081) then times it by 1 minus the 25% (you have to make the % a decimal) with a power of 6 for the six hours.
Looks like this:
7081(1- .25)^6
Answer: 1260.265
Rounded Answer: 1260 bacteria is in the initial sample

Algebra - The number of bacteria in a certain population increases according to a continuous?

Answers (1)