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

60,000 deer
60,000 deer

20 deer
20 deer

6,000 deer
6,000 deer

320 deer
320 deer

1 answer

To find the average number of deer in an area of 300 square miles, we can use the concept of proportion.

If there are 200 deer in 10 square miles, the ratio of deer to square miles is 200:10.

To find how many deer there would be in 300 square miles, we can set up the proportion:

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

Cross-multiply:

(200)(300) = (10)(X)

60,000 = 10X

Divide both sides by 10 to solve for X:

X = 6,000

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

The correct response is 6,000 deer.