1. The problem is to find an equation that represents how much taller Noah is than Elena. 2. Let $d$ represent the difference in height between Noah and Elena. 3. If Noah's height is $64 \frac{3}{4}$ inches and Elena's height is 59 inches, then the difference $d$ can be expressed as: $$d = 64 \frac{3}{4} - 59$$ 4. This equation means the difference in height is Noah's height minus Elena's height. 5. Simplify the mixed number $64 \frac{3}{4}$ to an improper fraction or decimal for easier calculation: $$64 \frac{3}{4} = 64 + \frac{3}{4} = 64.75$$ 6. Substitute and calculate: $$d = 64.75 - 59 = 5.75$$ 7. Convert $5.75$ back to a mixed fraction: $$5.75 = 5 \frac{3}{4}$$ 8. Therefore, Noah is $5 \frac{3}{4}$ inches taller than Elena. 9. The correct equation from the answer bank that matches this is: $$d = 64 \frac{3}{4} - 59$$