Question

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.

Answer 1

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.