Question

TWENTY POINTS!!!!!!! HELP PLEASE!!!!!! A team of sixth-grade students helped estimate the rabbit population in a local park. The students knew that park rangers had already marked 20 rabbits in the park. The students counted a total of 310 rabbits. Out of the rabbits they counted, 10 were marked. To the nearest whole number, what is the best estimate for the rabbit population?

Answer 1

To estimate the rabbit population, the students used the mark and recapture technique. The best estimate for the rabbit population in the park is 620.

Step-by-step explanation:

To estimate the rabbit population in the local park, the students used a technique called mark and recapture. They knew that 10 out of the 310 rabbits they counted were marked. The equation for estimating the population size is:

Population size = (Total number of individuals in the second capture) x (Number of marked individuals in the first capture) / (Number of marked individuals in the second capture)

Substituting the values in the equation, Population size = 310 x 20 / 10 = 620 (rounded to the nearest whole number).

The best estimate for the rabbit population in the park to the nearest whole number is 620.