researchers wanted to estimate how many lizards were living in a nearby wildlife preserve. the researchers…

researchers wanted to estimate how many lizards were living in a nearby wildlife preserve. the researchers went to the preserve and marked 57 lizards. a few weeks later, they returned to the preserve and counted 440 lizards, of which 38 were marked. to the nearest whole number, what is the best estimate for the lizard population?

researchers wanted to estimate how many lizards were living in a nearby wildlife preserve. the researchers went to the preserve and marked 57 lizards. a few weeks later, they returned to the preserve and counted 440 lizards, of which 38 were marked. to the nearest whole number, what is the best estimate for the lizard population?

Answer

Answer:

660

Explanation:

Step1: Set up proportion

Let $x$ be the total lizard population. The proportion is $\frac{57}{x}=\frac{38}{440}$.

Step2: Cross - multiply

$38x = 57\times440$.

Step3: Solve for $x$

$x=\frac{57\times440}{38}=\frac{25080}{38}=660$.