a fish and Game Warden captchas and tag 66 deer in a local florist a month later he captures 100 deer and finds that 17 of them are tagged. Estimate the actual number of deer in the forest.
x/66 = 17/100, were x is the total number of deer
solve for x
To estimate the actual number of deer in the forest, we can set up a proportion based on the given information.
Let's define:
Total number of deer in the forest = X
According to the data, the proportion can be written as:
(17 tagged deer) / (100 total captured deer) = (66 tagged deer) / (X total deer in the forest)
To solve for X, we can cross-multiply and solve the equation.
17 * X = 66 * 100
X = (66 * 100) / 17
X ≈ 388.24
Therefore, we can estimate that the actual number of deer in the forest is approximately 388.
To estimate the actual number of deer in the forest, we can set up a proportion using the tagged deer as a representative sample. Let's follow these steps:
Step 1: Calculate the percentage of tagged deer in the captured sample.
Divide the number of tagged deer (17) by the total number of deer captured (100) and multiply by 100 to get the percentage.
Percentage of tagged deer = (17 / 100) * 100 = 17%
Step 2: Set up a proportion to estimate the total number of deer in the forest.
Let's assume the total number of deer in the forest is "x".
Percentage of tagged deer in the forest = Percentage of tagged deer in the captured sample.
17% of x = 17%
Step 3: Solve the proportion equation for "x".
To solve the proportion equation, we can cross-multiply and solve for "x".
(17/100) * x = 17
Multiply both sides by 100 to eliminate the fraction:
17x = 17 * 100
Divide both sides by 17 to isolate "x":
x = (17 * 100) / 17
x = 100
Therefore, the estimated number of deer in the forest is 100.