Question

A class of eighth graders undertook an ambitious project to compile the most dominant color of uniforms for all 457 middle school sports teams in their state this year. The circle graph to the right shows the results. Approximately how many teams are represented in each​ sector?
A pie graph titled Dominant uniform color consists of a circle divided into 6 sectors with labels and sizes as percentages of the circle as follows: black, 22 percent; white, 19 percent; navy blue, 22 percent; gray, 15 percent; maroon, 7 percent; other, 15 percent.
Dominant uniform color
black 22%
white 19%
navy blue 22%
gray 15%
maroon 7%
other 15%
Question content area bottom
Part 1
There are approximately
  
enter your response here teams represented by the sector labelled black​, approximately
  
enter your response here teams represented by the sector labelled navy blue​, approximately
  
enter your response here teams represented by the sector labelled white​, approximately
  
enter your response here teams represented by the sector labelled gray​, approximately
  
enter your response here teams represented by the sector labelled maroon​, and approximately
  
enter your response here teams represented by the sector labelled other.
​(Simplify your answers. Round to the nearest whole​ number.)

Answer 1

To find the approximate number of teams represented in each sector of the circle graph, you can use the percentage of each color and the total number of teams, which is 457.

1. **Black (22%)**
\[
\text{Teams} = 457 \times \frac{22}{100} = 457 \times 0.22 = 100.54 \approx 101
\]

2. **Navy Blue (22%)**
\[
\text{Teams} = 457 \times \frac{22}{100} = 457 \times 0.22 = 100.54 \approx 101
\]

3. **White (19%)**
\[
\text{Teams} = 457 \times \frac{19}{100} = 457 \times 0.19 = 86.83 \approx 87
\]

4. **Gray (15%)**
\[
\text{Teams} = 457 \times \frac{15}{100} = 457 \times 0.15 = 68.55 \approx 69
\]

5. **Maroon (7%)**
\[
\text{Teams} = 457 \times \frac{7}{100} = 457 \times 0.07 = 31.99 \approx 32
\]

6. **Other (15%)**
\[
\text{Teams} = 457 \times \frac{15}{100} = 457 \times 0.15 = 68.55 \approx 69
\]

Now, summarizing the results:

- **Black:** approximately 101 teams
- **Navy Blue:** approximately 101 teams
- **White:** approximately 87 teams
- **Gray:** approximately 69 teams
- **Maroon:** approximately 32 teams
- **Other:** approximately 69 teams

So the approximate number of teams represented by each sector can be filled as follows:

- Black: **101**
- Navy Blue: **101**
- White: **87**
- Gray: **69**
- Maroon: **32**
- Other: **69**