A culture contains 25 comma 000 ​bacteria, with the population increasing exponentially. The culture contains 30 comma 000 bacteria after 7 hours.
a. Write a function in the form y equals y 0 e Superscript kt giving the number of bacteria after t hours.
b. Write the function from part a in the form y equals y 0 a Superscript t.
c. How long will it be until there are 65 comma 000 ​bacteria?
Question content area bottom
Part 1
a. The exponential equation is

25000 e Superscript 0.026 t.
​(Round to three decimal places as​ needed.)
Part 2
b. The function from part a in the form y equals y 0 a Superscript t is

enter your response here.
​(Round to three decimal places as​ needed.)
Part 3
c. There will be 65 comma 000 bacteria in about

enter your response here hours.