Solve the problem.
-Use the formula $P=I e^{k t}$. A bacterial culture has an initial population of 500. If its population grows to 7000 in 6 hours, what will it be at the end of 8 hours?
A) 4838
B) 51,714
C) 1117
D) 16,723

Question

Quizplus · Accepted Answer

Using the formula $P=I e^{k t}$, first find $k$ using the given data: $7000 = 500 e^{6k}$. Solving for $k$, we get $k \approx 0.5108$. Then, use this $k$ to find the population at 8 hours: $P = 500 e^{0.5108 \times 8} \approx 16,723$.

Solve the Problem P=IektP=I e^{k t}P=Iekt a Bacterial Culture Has an Initial Population of 500

Solve the Problem $P=I e^{k t}$ a Bacterial Culture Has an Initial Population of 500