(Solved): A culture contains 30,000 bacteria, with the population increasing exponentially. The culture conta ...

A culture contains 30,000 bacteria, with the population increasing exponentially. The culture contains 35,000 bacteria after 8 hours a. Write a function in the form \( y=y_{0} e^{k t} \) giving the number of bacteria after thours. b. Write the function from part a in the form \( y=y_{0} a^{t} \). c. How long will it be until there are 65,000 bacteria? a. The exponential equation is (Round to three decimal places as needed.) b. The function from part \( a \) in the form \( y=y_{0} a^{t} \) is (Round to three decimal places as needed.) c. There will be 65,000 bacteria in about hours. (Round to one decimal place as needed.)