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
6,000 deer
6,000 deer
20 deer
20 deer
320 deer
To find the average number of deer in an area of 300 square miles, we can use the concept of proportional relationships.
First, we need to determine the density of the deer population in the initial sample. The scientist found 200 deer in an area of 10 square miles. This means that the density of the deer population is 200/10 = 20 deer per square mile.
Now, we can use this density to find the expected number of deer in an area of 300 square miles. We can set up a proportion:
(20 deer/1 square mile) = (x deer/300 square miles)
To solve for x (the expected number of deer in 300 square miles), we can cross-multiply and solve for x:
x = 20 deer/square mile * 300 square miles = 6000 deer
Therefore, the scientist can expect to find 6000 deer in an area of 300 square miles.