Question

question in a lab experiment, a population of 300 bacteria is able to double every hour. which equation matches the number of bacteria in the population after 2 hours? answer b = 2(300)(300) b = 300(2)(2)(2) b = 2(300)^2 b = 300(2)^2 score: 2.5/3 penalty: 0.5 off match exponential equation and context watch video show examples

Explanation:

Step1: Identify the exponential - growth formula

The general formula for exponential growth of a population is $B = B_0\times r^t$, where $B_0$ is the initial population, $r$ is the growth - factor, and $t$ is the time.

Step2: Determine the values of $B_0$, $r$, and $t$

Given that the initial population $B_0 = 300$, the population doubles every hour so the growth - factor $r = 2$, and the time $t = 2$ hours.

Step3: Substitute the values into the formula

Substitute $B_0=300$, $r = 2$, and $t = 2$ into the formula $B = B_0\times r^t$. We get $B=300\times(2)^2$.

Answer:

$B = 300\times(2)^2$