Raul enters the hospital at 9am with an infection and has 327,680 bacteria in his body. The bacteria in his blood culture are doubling every 42 mins in the lab
a. Write an exponential equation to represent the total bacteria in Rauls body. Let x represent time in 42 minute intervals.
b. Find the number of times the bacteria have doubled when the bacteria has increased to 10,485,760
c. How long will it be until Raul has more than 1 billion bacteria in his body? Determine how long ago Raul was infected with bacteria if he initially contracted 10 bacteria.