a group of eighth - grade volunteers helped determine the lizard population of a local park. first, adult…

a group of eighth - grade volunteers helped determine the lizard population of a local park. first, adult volunteers marked 38 lizards. then, the student volunteers counted a total of 650 lizards in the park, 19 of which were marked. to the nearest whole number, what is the best estimate for the lizard population?

a group of eighth - grade volunteers helped determine the lizard population of a local park. first, adult volunteers marked 38 lizards. then, the student volunteers counted a total of 650 lizards in the park, 19 of which were marked. to the nearest whole number, what is the best estimate for the lizard population?

Answer

Explanation:

Step1: Set up proportion

Let $x$ be the total lizard population. The proportion is $\frac{38}{x}=\frac{19}{650}$.

Step2: Cross - multiply

$19x = 38\times650$.

Step3: Solve for $x$

$x=\frac{38\times650}{19}$. First, $38\div19 = 2$, then $2\times650=1300$.

Answer:

1300