to estimate the population of reindeer in an area, researchers put marks on 76 reindeer. later, on a flight…

to estimate the population of reindeer in an area, researchers put marks on 76 reindeer. later, on a flight over the area, the researchers noted 57 marked reindeer out of the 489 reindeer they counted. to the nearest whole number, what is the best estimate for the reindeer population?

to estimate the population of reindeer in an area, researchers put marks on 76 reindeer. later, on a flight over the area, the researchers noted 57 marked reindeer out of the 489 reindeer they counted. to the nearest whole number, what is the best estimate for the reindeer population?

Answer

Explanation:

Step1: Set up proportion

Let $x$ be the total reindeer population. The proportion is $\frac{76}{x}=\frac{57}{489}$.

Step2: Cross - multiply

$57x = 76\times489$.

Step3: Calculate the right - hand side

$76\times489=76\times(400 + 80+9)=76\times400+76\times80 + 76\times9=30400+6080+684 = 37164$.

Step4: Solve for $x$

$x=\frac{37164}{57}=652$.

Answer:

652