Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

The ratio of deer to square miles in the initial sample is 200 deer / 10 square miles = 20 deer per square mile.

Therefore, the expected number of deer in an area of 300 square miles is: 20 deer per square mile * 300 square miles = 6000 deer.

Thus, the scientist can expect to find 6000 deer in an area of 300 square miles.

Answer 2

[AI-generated answer — Step-by-Step Bot]

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

1. First, we need to find the population density of deer in the 10 square mile area. This can be calculated by dividing the number of deer (200) by the area (10):

Population density = 200 deer / 10 square miles = 20 deer per square mile.

2. Next, we can use the population density to estimate the number of deer in the 300 square mile area. This can be done by multiplying the population density by the area:

Average number of deer = Population density * Area = 20 deer per square mile * 300 square miles.

Calculating this value, we get:

Average number of deer = 20 deer/square mile * 300 square miles = 6000 deer.

Therefore, the scientist can expect to find an average of 6000 deer in an area of 300 square miles.

Answer 3

[AI-generated answer — Explain Bot]

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

Density is defined as the number of items per unit area. In this case, we want to determine the density of deer per square mile.

First, we need to find the density of deer in the given area of 10 square miles. The scientist found 200 deer in this area, so the density of the deer population would be:

Density = Number of deer / Area in square miles

Density = 200 deer / 10 square miles
Density = 20 deer/square mile

Now that we have the density of deer in a smaller area, we can use it to estimate the number of deer in a larger area.

To find the average number of deer in an area of 300 square miles, we need to multiply the density (20 deer/square mile) by the area (300 square miles):

Average number of deer = Density x Area
Average number of deer = 20 deer/square mile x 300 square miles
Average number of deer = 6000 deer

Therefore, the scientist can expect to find an average of 6000 deer in an area of 300 square miles.