1. **State the problem:** We want to find how many jumps an athlete who is 5 feet 9 inches tall would need to jump one mile if the athlete jumps at the same ratio as a 2-inch grasshopper that jumps 40 inches. 2. **Identify the ratio and units:** The grasshopper's jump length is 40 inches, and its body length is 2 inches. The athlete's height is 5 feet 9 inches. Convert this to inches: $$5 \text{ feet} = 5 \times 12 = 60 \text{ inches}$$ $$\text{Total height} = 60 + 9 = 69 \text{ inches}$$ 3. **Calculate the jump length for the athlete:** The jump length is proportional to the body length, so: $$\text{Jump length ratio} = \frac{40}{2} = 20$$ This means the grasshopper jumps 20 times its body length. 4. **Calculate athlete's jump length:** $$\text{Athlete jump length} = 69 \times 20 = 1380 \text{ inches}$$ 5. **Convert one mile to inches:** $$1 \text{ mile} = 5280 \text{ feet}$$ $$5280 \times 12 = 63360 \text{ inches}$$ 6. **Calculate the number of jumps:** $$\text{Number of jumps} = \frac{\text{Total distance}}{\text{Jump length}} = \frac{63360}{1380}$$ Show intermediate cancellation: $$\frac{\cancel{63360}}{\cancel{1380}} = 45.913...$$ 7. **Round to the nearest whole jump:** $$\approx 46 \text{ jumps}$$ **Final answer:** The athlete would need approximately 46 jumps to cover one mile.