for a research project on geese, 51 geese were tagged and released. later, researchers counted 460 geese, of…

for a research project on geese, 51 geese were tagged and released. later, researchers counted 460 geese, of which 34 had tags. to the nearest whole number, what is the best estimate for the goose population?

for a research project on geese, 51 geese were tagged and released. later, researchers counted 460 geese, of which 34 had tags. to the nearest whole number, what is the best estimate for the goose population?

Answer

Answer:

690

Explanation:

Step1: Set up proportion

Let $x$ be the total goose - population. The proportion is $\frac{51}{x}=\frac{34}{460}$.

Step2: Cross - multiply

$34x = 51\times460$.

Step3: Calculate right - hand side

$51\times460 = 23460$. So, $34x=23460$.

Step4: Solve for $x$

$x=\frac{23460}{34}=690$.