Suppose a culture of bacteria starts with 8000 bacteria. After one hour, the count is 9000. Find an exponential equation that models the number of bacteria in hours. Keep at least 4 decimal places in your formula for rounded values. Find the doubling time of the bacteria. Round the doubling time to the nearest 0.01 hours.

The exponential equation would be 8000 (1.125) ^t where t represents the number of hours. If you want to find the doubling time of the bacteria, you would put the equation like this: 8000 (1.125) ^t = 16000.

1) 1.125^t = 2

2) log_1.125 (2) = t

3) t = 5.8849491924

Rounding the time to the nearest 0.01 hours would give you 5.88 hours.