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)

Question

Responses

60,000 deer
60,000 deer

320 deer
320 deer

20 deer
20 deer

6,000 deer
6,000 deer

Answer 1

To find the expected number of deer in an area of 300 square miles, we first determine the density of deer in the original area sampled.

1. The scientist found 200 deer in 10 square miles. The density is calculated as: \[ \text{Density} = \frac{\text{Number of deer}}{\text{Area}} = \frac{200 \text{ deer}}{10 \text{ square miles}} = 20 \text{ deer/square mile} \]

2. Now, we can use this density to estimate the number of deer in an area of 300 square miles: \[ \text{Expected number of deer} = \text{Density} \times \text{New Area} = 20 \text{ deer/square mile} \times 300 \text{ square miles} = 6000 \text{ deer} \]

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

So the correct response is: 6,000 deer