1. **Problem 1: Temperature drop during hike** Myka's temperature drops 5.4°F for every 1,000 feet she hikes up. We want to find the temperature drop after hiking 6,000 feet. 2. **Formula:** Temperature drop = rate of drop per 1,000 feet \times number of 1,000 feet hiked 3. **Calculation:** Number of 1,000 feet in 6,000 feet = $\frac{6000}{1000} = 6$ Temperature drop = $5.4 \times 6 = 32.4$°F 4. **Answer:** The temperature dropped by 32.4°F after hiking 6,000 feet. --- 5. **Problem 2: Miles left to hike on fifth day** Myka plans to hike a total of 54 1/4 miles. She hikes 12 1/2 miles each on the first three days and 10 3/8 miles on the fourth day. We want to find how many miles she has left for the fifth day. 6. **Convert mixed numbers to improper fractions:** $54 \frac{1}{4} = \frac{217}{4}$ $12 \frac{1}{2} = \frac{25}{2}$ $10 \frac{3}{8} = \frac{83}{8}$ 7. **Calculate total miles hiked in first four days:** First three days: $3 \times \frac{25}{2} = \frac{75}{2}$ Convert $\frac{75}{2}$ to eighths: $\frac{75}{2} = \frac{300}{8}$ Add fourth day: $\frac{300}{8} + \frac{83}{8} = \frac{383}{8}$ 8. **Convert total planned miles to eighths:** $\frac{217}{4} = \frac{434}{8}$ 9. **Miles left for fifth day:** $\frac{434}{8} - \frac{383}{8} = \frac{51}{8} = 6 \frac{3}{8}$ miles 10. **Answer:** Myka has 6 3/8 miles left to hike on the fifth day.