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 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. 50
B. 500
C. 600
D. 6,000
Can someone please show me how to do this? I need help fast. @Ms. Sue, @Writeacher, @Reed, @Damon, ANYONE!!!
let the number of deer be x
(16/800)x = 120
(1/5)x = 120
x = 5(120) = 6000
or
use a ratio:
16/800 = 120/x
1/5 = 120/x
x = 5(120)
x = 6000
Ohmigosh, so the answer is D., 6,000? THANKS SO MUCH Reiny!! LOVE YOUUUU
Thanks! Puting this in my notes for study prep on PSSA's!
you only love her cause she gave you answers
6,000
Yes, that is correct!
To estimate the number of deer in North Carolina using the given information, we can use a proportion.
Let's assume that the proportion of tagged deer in the second sample is representative of the entire deer population in North Carolina.
First, we can set up the proportion using the tagged deer from both samples:
(16 tagged deer in the second sample) / (800 total deer in the second sample) = (number of deer in North Carolina) / (120 tagged deer in the first sample)
Next, we can cross-multiply and solve for the unknown:
16 * 120 = 800 * (number of deer in North Carolina)
1920 = 800 * (number of deer in North Carolina)
Divide both sides by 800:
1920 / 800 = number of deer in North Carolina
Simplifying this equation gives us:
2.4 = number of deer in North Carolina
Since you cannot have a fraction of a deer, we round up the decimal to the nearest whole number, which is 3. Therefore, the estimated number of deer in North Carolina is 3.
Unfortunately, none of the answer choices provided (A. 50, B. 500, C. 600, D. 6,000) match the estimated number of deer. It's possible that there may be a mistake in the given options or in the information provided.