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

20 deer
20 deer

320 deer
320 deer

6,000 deer
6,000 deer

60,000 deer

Answer 1

To determine how many deer the scientist can expect to find in an area of 300 square miles, we can use the concept of proportion.

The ratio of the number of deer to the area is constant.

Therefore, we can set up the following proportion:

200 deer / 10 square miles = x deer / 300 square miles

Cross multiplying, we get:

(200 deer) * (300 square miles) = (10 square miles) * x deer

Simplifying, we have:

x deer = (200 deer * 300 square miles) / 10 square miles

Calculating this expression, we get:

x deer = 6,000 deer

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

Thus, the correct answer is "6,000 deer."