A bacteria culture grows in population exponentially. An initial population of 5,000 bacteria are introduced?

and three hours later have grown to 8,000. The culture can support a maximum of 400,000 bacteria. How long will it take the culture to reach this number? Please help me. Please show your work. thank you a lot.

A bacteria culture grows in population exponentially. An initial population of 5,000 bacteria are introduced?
your forumula or f(x) = 5000 + A(x^2), where A is your rate constant.





If f(3) = 8000 = 5000 + A(3^2), then A = 3000/9 = 333.33





Your final formula is f(x) = 5000 + 333.33x^2.





To find out how long it takes to get to 400,000 substitute 400,000 for f(x) to get 400,000 = 5000 = 333.33x^2


= 395,00 = 333.33x^2


= 1185 = x^2


= 34.42 = x





In 34.42 hours, the maximum population of the culture will have been reached.

night jasmine