dr. jordan studied a bat colony in a cave. he knew that 75 of the bats in the cave had been tagged the week…

dr. jordan studied a bat colony in a cave. he knew that 75 of the bats in the cave had been tagged the week before. then, he counted 480 bats, of which 20 were tagged. to the nearest whole number, what is the best estimate for the bat population?

dr. jordan studied a bat colony in a cave. he knew that 75 of the bats in the cave had been tagged the week before. then, he counted 480 bats, of which 20 were tagged. to the nearest whole number, what is the best estimate for the bat population?

Answer

Explanation:

Step1: Set up the proportion

Let $x$ be the total bat - population. The proportion is $\frac{75}{x}=\frac{20}{480}$.

Step2: Cross - multiply

$20x = 75\times480$.

Step3: Calculate the right - hand side

$75\times480 = 36000$, so $20x=36000$.

Step4: Solve for $x$

$x=\frac{36000}{20}=1800$.

Answer:

1800