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
20 deer
20 deer
60,000 deer
60,000 deer
320 deer
320 deer
6,000 deer
To find the average number of deer in an area of 300 square miles, we can use the concept of proportion.
The population density (number of deer per square mile) can be found by dividing the number of deer (200) by the area (10 square miles):
Population density = Number of deer / Area
Population density = 200 deer / 10 square miles
Population density = 20 deer/square mile
To find the expected number of deer in an area of 300 square miles, we can multiply the population density by the area:
Expected number of deer = Population density * Area
Expected number of deer = 20 deer/square mile * 300 square miles
Expected number of deer = 6,000 deer
Therefore, the scientist can expect to find 6,000 deer in an area of 300 square miles.
To find the average number of deer in an area of 300 square miles, we can set up a proportion using the given information.
We know that in an area of 10 square miles, there are 200 deer. Now we can set up the proportion:
10 square miles/200 deer = 300 square miles/x deer
To solve for x, we can cross multiply:
10 * x = 200 * 300
10x = 60,000
Dividing both sides by 10, we get:
x = 6,000
Therefore, the scientist can expect to find an average of 6,000 deer in an area of 300 square miles. So the correct answer is: "6,000 deer".
To answer this question, we can use the concept of density. Density is defined as the number of individuals per unit area. In this case, we have a density of 200 deer per 10 square miles.
To find the average number of deer in an area of 300 square miles, we need to first calculate the density of deer in that larger area. We can do this by dividing the total number of deer by the total area.
First, let's calculate the density of deer using the initial information:
Density = Number of deer / Area
Density = 200 deer / 10 square miles
Density = 20 deer per square mile
Now, let's apply this density to the larger area of 300 square miles:
Expected number of deer = Density x Area
Expected number of deer = 20 deer per square mile x 300 square miles
Calculating this:
Expected number of deer = 6000 deer
Therefore, the scientist can expect to find approximately 6,000 deer in an area of 300 square miles. So the correct answer is "6,000 deer."