1. **State the problem:** We have a percent bar graph showing the ages of skaters using a skate park in one week with categories and their percentages. 2. **Given data:** - 14 to 17 years: 45% - 10 to 13 years: 25% - 18 to 21 years: 15% - Over 21 years: 10% - Under 10 years: 5% 3. **Part a:** What is the percent of values for each category? - The percentages are given directly from the graph as above. 4. **Part b:** When 512 skaters were surveyed, how many are 10 to 13 years old? - Use the formula: $$\text{Number in category} = \frac{\text{Percent}}{100} \times \text{Total surveyed}$$ - Substitute values: $$\text{Number} = \frac{25}{100} \times 512$$ - Simplify: $$= \cancel{\frac{25}{100}} \times 512 = \frac{1}{4} \times 512$$ - Calculate: $$= 128$$ 5. **Part c:** Which category represents the mode? Explain your reasoning. - The mode is the category with the highest percentage. - From the data, 14 to 17 years has the highest percentage at 45%. - Therefore, the mode is the 14 to 17 years category because it has the greatest number of skaters. **Final answers:** - a. Percentages: 14 to 17 = 45%, 10 to 13 = 25%, 18 to 21 = 15%, Over 21 = 10%, Under 10 = 5% - b. Number of skaters aged 10 to 13 = 128 - c. Mode category = 14 to 17 years