In a laboratory experiment, the population of bacteria in a petri dish started off at 2600 and is growing exponentially at 13% per day. Write a function to represent the
population of bacteria after t days, where the hourly rate of change can be found
from a constant in the function. Round all coefficients in the function to four decimal
places. Also, determine the percentage rate of change per hour, to the nearest
hundredth of a percent.