A researcher, studying dolphins in the wild, made the following sketch. Each dot on the map represents one dolphin. The area surveyed by the scientist was

1 km ^2. Based on the researcher's data, how many dolphins would you estimate to be in a 3 km ^2 area?
3
7
14
21

SORRY! Can't show you the pic.

The answer is 21. Just do 3•7 and you get 21.

Connery’s students .......HI

Based on the information given, we know that there are a certain number of dolphins within a 1 km^2 area. To estimate the number of dolphins in a 3 km^2 area, we can assume that the density of dolphins is constant across the surveyed area.

Therefore, to estimate the number of dolphins in a 3 km^2 area, we need to multiply the number of dolphins in a 1 km^2 area by 3.

For the options given, the correct estimate would be:

3 km^2: 3 x number of dolphins in 1 km^2
7 km^2: 7 x number of dolphins in 1 km^2
14 km^2: 14 x number of dolphins in 1 km^2
21 km^2: 21 x number of dolphins in 1 km^2

Since we don't have information about the number of dolphins in a 1 km^2 area, we cannot provide an accurate estimate of the number of dolphins in a 3 km^2 area.

To estimate the number of dolphins in a 3 km^2 area based on the researcher's data, we need to calculate the density of dolphins in the 1 km^2 area first.

Since the area surveyed by the scientist was 1 km^2, we can count the number of dots representing dolphins in that area. Let's assume the researcher counted X number of dolphins in the 1 km^2 area.

Now, to estimate the number of dolphins in a 3 km^2 area, we can use the concept of density. Density is calculated by dividing the number of objects (in this case, dolphins) by the area.

Density = Number of dolphins / Area

So, the density of dolphins in the 1 km^2 area would be X dolphins / 1 km^2.

To estimate the number of dolphins in a 3 km^2 area, we can multiply the density by the area:

Estimated number of dolphins = Density * Area

Estimated number of dolphins = (X dolphins / 1 km^2) * 3 km^2

Here, the 1 km^2 units will cancel out, and we are left with:

Estimated number of dolphins = X * 3

Now, you mentioned four options for the estimated number of dolphins: 3, 7, 14, and 21. To determine the estimated number, we need to know the specific value of X, which represents the number of dolphins counted in the 1 km^2 area. Without that information, we cannot give a specific estimated number.

Please provide the value of X, and we can calculate the estimated number of dolphins in the 3 km^2 area based on the given data.