Question

Question

A scientist samples a deer population and finds 200 deer in an area of 10 square miles. On average, how many deer can the scientist expect to find in an area of 300 square miles?(1 point)
Responses

6,000 deer
6,000 deer

20 deer
20 deer

60,000 deer
60,000 deer

320 deer
320 deer
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Answer 1

To find the expected number of deer in an area of 300 square miles, you can use the deer population density from the sampled area.

The deer population density is calculated as follows:

\[ \text{Density} = \frac{\text{Number of Deer}}{\text{Area}} = \frac{200 \text{ deer}}{10 \text{ square miles}} = 20 \text{ deer/square mile} \]

Now, to find how many deer are expected in 300 square miles:

\[ \text{Expected number of deer} = \text{Density} \times \text{Area} = 20 \text{ deer/square mile} \times 300 \text{ square miles} = 6,000 \text{ deer} \]

So the scientist can expect to find 6,000 deer in an area of 300 square miles.