to determine the jackrabbit population in a wildlife preserve, researchers tagged 67 jackrabbits. later…

to determine the jackrabbit population in a wildlife preserve, researchers tagged 67 jackrabbits. later, they counted 310 jackrabbits. out of the jackrabbits they counted, 31 had tags. to the nearest whole number, what is the best estimate for the jackrabbit population?

to determine the jackrabbit population in a wildlife preserve, researchers tagged 67 jackrabbits. later, they counted 310 jackrabbits. out of the jackrabbits they counted, 31 had tags. to the nearest whole number, what is the best estimate for the jackrabbit population?

Answer

Explanation:

Step1: Set up proportion

Let $x$ be the total jack - rabbit population. The proportion is $\frac{\text{tagged in first sample}}{\text{total population}}=\frac{\text{tagged in second sample}}{\text{size of second sample}}$, so $\frac{67}{x}=\frac{31}{310}$.

Step2: Cross - multiply

Cross - multiplying gives $31x = 67\times310$.

Step3: Solve for $x$

First, calculate $67\times310 = 20770$. Then $x=\frac{20770}{31}=670$.

Answer:

670