A scientist samples a dere population and finds 200 deer in an area of 10 square miles. On average, how many deer cam the scientist expect to find in an area of 300 square smiles?

1 answer

To find the expected number of deer in an area of 300 square miles based on the data from the 10 square mile area, we first need to calculate the density of deer in the original area.

The deer density can be calculated using the formula:

\[ \text{Density} = \frac{\text{Number of Deer}}{\text{Area (in square miles)}} \]

In this case, the scientist found 200 deer in 10 square miles:

\[ \text{Density} = \frac{200 \text{ deer}}{10 \text{ square miles}} = 20 \text{ deer per square mile} \]

Now, we can use this density to estimate the number of deer in 300 square miles:

\[ \text{Expected number of deer} = \text{Density} \times \text{Area} \]

Calculating this gives:

\[ \text{Expected number of deer} = 20 \text{ deer per square mile} \times 300 \text{ square miles} = 6000 \text{ deer} \]

Therefore, the scientist can expect to find approximately 6000 deer in an area of 300 square miles.