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
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.
To estimate the number of deer in an area of 300 square miles, we can use the concept of density.
Density is calculated by dividing the number of individuals (deer) by the area (in square miles).
Given that the scientist found 200 deer in an area of 10 square miles, we can calculate the density:
Density = 200 deer / 10 square miles = 20 deer per square mile.
To find the estimated number of deer in a 300 square mile area, we can multiply the density by the area:
Estimated number of deer = Density * Area
= 20 deer per square mile * 300 square miles
= 6,000 deer.
Therefore, the scientist can expect to find approximately 6,000 deer in an area of 300 square miles.
To find the average number of deer the scientist can expect to find in an area of 300 square miles, we can use the concept of population density.
Population density is the number of individuals per unit of area. In this case, the population density of deer in the sampled area is 200 deer per 10 square miles. To find the average number of deer in a larger area, we can use the concept of proportionality.
First, we calculate the population density in the larger area. Since the area is 300 square miles, the population density in the larger area would be:
(300 square miles / 10 square miles) * 200 deer = 6,000 deer
Therefore, the scientist can expect to find an average of 6,000 deer in an area of 300 square miles.
So the answer is: 6,000 deer.