1. **State the problem:** We have a table showing the number of cars by color that went through a car wash in one day. We need to determine which TWO statements are supported by the data. 2. **List the data:** - White cars: 30 - Red cars: 6 - Black cars: 24 - Blue cars: 15 3. **Calculate the total number of cars:** $$30 + 6 + 24 + 15 = 75$$ 4. **Check each statement:** - Statement 1: "There were 80 cars that went through the car wash" - Total is 75, so this is **false**. - Statement 2: "Less than 22% of the cars were either red or blue" - Number of red or blue cars: $6 + 15 = 21$ - Percentage: $$\frac{21}{75} \times 100 = 28\%$$ - 28% is not less than 22%, so this is **false**. - Statement 3: "Over 50% of the cars were white" - Percentage of white cars: $$\frac{30}{75} \times 100 = 40\%$$ - 40% is not over 50%, so this is **false**. - Statement 4: "White and black cars combined accounted for 72% of the cars" - Number of white and black cars: $30 + 24 = 54$ - Percentage: $$\frac{54}{75} \times 100 = 72\%$$ - This is **true**. - Statement 5: "There were four times as many black cars as red cars" - Ratio: $$\frac{24}{6} = 4$$ - This is **true**. 5. **Final answer:** The two correct statements are: - White and black cars combined accounted for 72% of the cars - There were four times as many black cars as red cars