Question

To begin a bacteria study, a petri dish had 2300 bacteria cells. Each hour since, the number of cells has increased by 9.3%.

Let t be the number of hours since the start of the study. Let y be the number of bacteria cells.

Write an exponential function showing the relationship between y and t.

Answer 1

The formula for exponential growth is:

Total = starting value x (1 + rate)^ time

Using the information in the problem the formula would be:

y = 2300(1.093)^t