1. **State the problem:** Farah packs 4 outfits for every 3 days of vacation. We need to determine which of the given statements about outfits packed for different vacation lengths are true. 2. **Formula:** The ratio of outfits to days is $ \frac{4}{3} $. For any number of days $d$, the number of outfits $o$ is given by: $$ o = \frac{4}{3} \times d $$ 3. **Evaluate each statement:** - A: For 8 days, outfits = $ \frac{4}{3} \times 8 = \frac{32}{3} \approx 10.67 $ (not 6) → False - B: For 6 days, outfits = $ \frac{4}{3} \times 6 = 8 $ → True - C: For 9 days, outfits = $ \frac{4}{3} \times 9 = 12 $ (not 10) → False - D: For 12 days, outfits = $ \frac{4}{3} \times 12 = 16 $ → True - E: For 21 days, outfits = $ \frac{4}{3} \times 21 = 28 $ → True 4. **Conclusion:** The true statements are B, D, and E.