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
320 deer
320 deer
6,000 deer
6,000 deer
60,000 deer
To determine how many deer the scientist can expect to find in an area of 300 square miles, we can use the concept of proportion.
The ratio of the number of deer to the area is constant.
Therefore, we can set up the following proportion:
200 deer / 10 square miles = x deer / 300 square miles
Cross multiplying, we get:
(200 deer) * (300 square miles) = (10 square miles) * x deer
Simplifying, we have:
x deer = (200 deer * 300 square miles) / 10 square miles
Calculating this expression, we get:
x deer = 6,000 deer
So, the scientist can expect to find 6,000 deer in an area of 300 square miles.
Thus, the correct answer is "6,000 deer."
To find the average number of deer in an area of 300 square miles, you can use the concept of proportion.
First, let's establish a proportion using the given information:
10 square miles -> 200 deer
300 square miles -> x deer
We can set up the proportion as follows:
10/300 = 200/x
To solve for x, we can cross multiply and then divide:
10x = 300 * 200
10x = 60,000
x = 60,000/10
x = 6,000
Therefore, the scientist can expect to find on average 6,000 deer in an area of 300 square miles.
To find the answer, you need to establish a relationship between the number of deer and the area in which they are found. From the given information, you know that there are 200 deer in an area of 10 square miles.
To calculate the average number of deer in a larger area of 300 square miles, you can use the concept of proportionality. Since the area has increased by a factor of 30 (from 10 to 300 square miles), you would expect the number of deer to increase by the same factor.
To find the average number of deer in the larger area, multiply the original number of deer (200) by the factor of 30:
200 deer * 30 = 6,000 deer
Therefore, the scientist can expect to find an average of 6,000 deer in an area of 300 square miles.