scientists captured, tagged, and released 47 ducks as part of a research study. a week later, the scientists…

scientists captured, tagged, and released 47 ducks as part of a research study. a week later, the scientists returned to the area and found 23 tagged ducks out of the 230 ducks they counted. to the nearest whole number, what is the best estimate for the duck population?

scientists captured, tagged, and released 47 ducks as part of a research study. a week later, the scientists returned to the area and found 23 tagged ducks out of the 230 ducks they counted. to the nearest whole number, what is the best estimate for the duck population?

Answer

Explanation:

Step1: Set up proportion

Let $x$ be the total duck population. The proportion is $\frac{47}{x}=\frac{23}{230}$.

Step2: Cross - multiply

$23x = 47\times230$.

Step3: Solve for $x$

$x=\frac{47\times230}{23}$. First, calculate $47\times230 = 10810$. Then, $\frac{10810}{23}=470$.

Answer:

470