A group of seventh-grade volunteers helped determine the lizard population of a local park. First, adult volunteers marked 96 lizards. Then, the student volunteers counted a total of 420 lizards in the park, 63 of which were marked. To the nearest whole number, what is the best estimate for the lizard population?

Respuesta :

Answer:

To estimate the lizard population, you can use the ratio of marked lizards to the total number of lizards observed.

\[{Marked lizards ratio} = {Number of marked lizards}{Total number of lizards observed}}

\]

In this case:

{Marked lizards ratio} = {63}{420}

Now, apply this ratio to the initially marked lizards:

{Estimated lizard population} = {63}{420} \times 96

\]

Calculating this gives approximately {63}{420} \times 96 \approx 14.4 \).

So, to the nearest whole number, the best estimate for the lizard population is 14.