A bacteria culture that doubles each hour has an initial population of 7 cells. Write an hourly equation modeling this information. How many cells are present 24 hours later?
1 Answer
Jan 22, 2018
Explanation:
We need to find an exponential equation of the form:
Where:
From information given:
We have
We are told this doubles each hour, so after
Using these values in the equation.
We now solve this for
Divide both sides by 7:
Taking natural logarithms of both sides:
Now our equation is:
After 24 hours