A laboratory researcher is using the formula $A = A_0 e^{rt}$ to model the continuous growth of a bacteria population. If the experiment begins with 50 bacteria and grows at a rate of 15% per hour ($r = 0.15$), which of the following expressions correctly shows the values substituted into the formula to find the population after 8 hours?

A quality control technician is monitoring a bacterial culture used in fermentation. The culture begins with an initial population of 50 and grows continuously at a rate of 15% per hour. When using the formula $A = A_0 e^{rt}$ to find the population after 8 hours, the numerical value of the exponent (the product of the rate and time) simplifies to ____.

A laboratory researcher is monitoring a bacterial culture that begins with 50 bacteria and grows continuously at a rate of 15% per hour. Match each component of the exponential growth formula $A = A_0 e^{rt}$ with the numerical value from the scenario that will be substituted into the formula to calculate the population after 8 hours.

A laboratory researcher is documenting the process of evaluating a bacterial culture's growth. The culture starts with 50 bacteria and grows continuously at a rate of 15% per hour. Arrange the following steps in the correct order to determine the population after 8 hours using the formula $A = A_0 e^{rt}$.

A laboratory researcher starts an experiment with an initial population of 50 bacteria ($A_0 = 50$) that grows continuously at a rate of 15% per hour ($r = 0.15$). True or False: After 8 hours ($t = 8$), the growth formula simplifies to $A = 50 e^{1.2}$, resulting in a population of approximately 166 bacteria.

Evaluating Bacterial Growth in Biotech Quality Control