In a laboratory experiment, the population of bacteria in a petri dish started off at 500 and is growing exponentially at 3% per hour. Write a function to represent the
population of bacteria after t hours, where the rate of change per minute 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 minute, to the
nearest hundredth of a percent.