In a lab experiment, 620 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 28 hours. Write a function
showing the number of bacteria after t hours, where the hourly growth rate can be
found from a constant in the function. Round all coefficients in the function to four
decimal places. Also, determine the percentage of growth per hour, to the nearest
hundredth of a percent.