Question

Sixty percent of the swamp is in four North Carolina counties, and the remaining portion is in Virginia. Write and solve an equation to find the percent of the Great Dismal Swamp that is in Virginia. Then make a circle graph to show how much of the swamp is located in each state.

Answer 1

Forty percent of the Great Dismal Swamp is in Virginia, with the remaining sixty percent in North Carolina. A circle graph representing this distribution would have two sectors, 60% for North Carolina and 40% for Virginia.

Step-by-step explanation:

If sixty percent of the Great Dismal Swamp is located in four North Carolina counties, then the remaining portion must be located in Virginia. To find the percentage of the swamp that is in Virginia, we use the fact that the total percentage must add up to 100%. This gives us the equation:

60% (North Carolina) + x% (Virginia) = 100%

Solving for x gives us:

x% = 100% - 60%

x% = 40%

Therefore, 40% of the Great Dismal Swamp is located in Virginia.

To represent this information in a circle graph, we would draw a circle and create two sectors. One sector would represent the 60% of the swamp that is in North Carolina, and the other sector would represent the 40% of the swamp that is in Virginia. The North Carolina sector would cover 60% of the circle's circumference, while the Virginia sector would cover the remaining 40%.