A scientist samples of 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?

Question

A: 20 deer
B: 60,000 deer
C: 320 deer
D: 6,000 deer

Answer 1

To solve this problem, we can set up a proportion.

We know that the number of deer is directly proportional to the area of land.

So, 200 deer / 10 square miles = x deer / 300 square miles, where x is the number of deer in the larger area.

Cross multiplying, we get 200 * 300 = 10 * x

Simplifying, we get 60000 = 10 * x

Dividing both sides by 10, we get x = 6000.

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

The correct answer is option D: 6,000 deer.