Question

Use the formula P=Ie^kt. A bacterial culture has an initial population of 500. If it's population grows to 5000 in 8 hours, what will it be in 10 hours?

Answer 1

$$
\Large { P=Ie^{kt}\\
P=500e^{kt}\\
you~are~given~ P= 5000~ when~ t = 8
\\ 5000 = 500 e^{k8}
\\ solve for k
}

$$