A type of bacteria doubles every 36 hours. A Petri dish starts out with 12 of these bacteria. Use the table below to calculate the rate of change for the interval [2, 5].
[list=1] [*]Determine the interval to be observed. [*]Determine [math](x_1, y_1)[/math]. [*]Determine [math](x_2, y_2)[/math]. [*]Substitute [math](x_1, y_1)[/math] and [math](x_2, y_2)[/math] into the slope formula to calculate the rate of change. [/list]