Question

2. A forester is-trying to determine the number of long leaf pine trees in a forest that covers 83 acres. She marks off three half-acre plots at randomly selected locations in the forest. The first plot contains 212 mature trees, the second plot contains 242 mature trees, and the third plot contains 236 mature trees. Use this data to estimate the number of mature long leaf pines in the entire forest. Explain your reasoning and show all of your work. ​

Answer 1

Answer:

114540 mature long leaf pines

Step-by-step explanation:

Given that the matured long leaf pine trees in a forest that covers 83 acres. 

1 acre = 6 plot

83 acres = 83 × 6 = 498 plots

Among the three and half samples, he actually made use of 3 plots. So,

The first plot contains 212 mature trees, the second plot contains 242 mature trees, and the third plot contains 236 mature trees. That is 3 plots contain

3 plot = 212 +242 + 236 = 690 trees

The number of mature long leaf pines in the entire forest can be estimated as

= 498/3 × 690

= 166 × 690

= 114540 mature long leaf pines in the entire forest.