Solve the problem.
-Use the formula $P=\mathrm{I}^{\mathrm{kt}}$. A bacterial culture has an initial population of 10,000 . If its population declines to 7000 in 2 hours, what will it be at the end of 4 hours?
A) 1500
B) 2450
C) 4900
D) 9031

Question

Quizplus · Accepted Answer

The formula $P = I \cdot e^{kt}$ is used for exponential growth or decay. Here, $I = 10000$, $P = 7000$, and $t = 2$. First, solve for $k$ using $7000 = 10000 \cdot e^{2k}$. Then, use the value of $k$ to find the population at $t = 4$. The population at 4 hours is approximately 4900.

Solve the Problem P=IktP=\mathrm{I}^{\mathrm{kt}}P=Ikt a Bacterial Culture Has an Initial Population of 10,000

Solve the Problem $P=\mathrm{I}^{\mathrm{kt}}$ a Bacterial Culture Has an Initial Population of 10,000