Exponential Growth of Bacteria Population

A certain population of a bacteria grows according to the exponential function:

$$ P(t) = P_0 e^{kt} $$

where:

• $$ P(t) $$ = the population at time $$ t $$
• $$ P_0 $$ = the initial population
• $$ k $$ = the growth rate constant
• $$ t $$ = the time in hours

Suppose the initial population of the bacteria is 100, and the growth rate constant $$ k $$ is 0.693. What will the population be after 5 hours?