Calculating Exponential Growth and Decay

The video tutorial explores how to calculate the growth of bacteria on a toothbrush using exponential functions. It explains exponential growth and decay, emphasizing the growth factor and decay factor. The tutorial provides a practical example of bacteria growing by 25% each hour, demonstrating how to apply the formula y = a(1 + r)^x to solve for the number of bacteria after a given time. The lesson concludes with a problem-solving exercise, reinforcing the concept of exponential growth and its rapid increase over time.

If a colony of bacteria starts with 5,000 and grows by 25% every hour, how many bacteria will there be after 8 hours?

What does the final population of bacteria on the toothbrush indicate about exponential growth?