Game wardens use experiments to help determine the number of deer in the state of North Carolina. Suppose 120 deer are caught, tagged, and released back into the wild. A month later, 800 deer are caught with 16 found to have tags. Using this information, estimate the number of deer in North Carolina.
A. 800
B. 1,200
C. 1,920
D. 6,000
We can use a proportion to estimate the total number of deer. Let x be the total number of deer in North Carolina. We can set up the following proportion:
120/x = 16/800
Simplifying this proportion, we can cross-multiply to get:
120*800 = 16*x
Solving for x, we get:
x = (120*800)/16 = 6,000
Therefore, the estimated number of deer in North Carolina is 6,000. The answer is (D).