A culture contains 10 comma 00010,000 bacteria, with the population increasing exponentially. The culture contains 35 comma 00035,000 bacteria after 1010 hours. a. Write a function in the form y equals y 0 e Superscript kty=y0ekt giving the number of bacteria after t hours. b. Write the function from part a in the form y equals y 0 a Superscript ty=y0at. c. How long will it be until there are 75 comma 00075,000 bacteria? a. The exponential equation is nothing. (Round to three decimal places as needed.) b. The function from part a in the form y equals y 0 a Superscript ty=y0at is nothing. (Round to three decimal places as needed.) c. There will be 75 comma 00075,000 bacteria in about nothing hours. (Round to one decimal place as needed.)