1. The problem asks to find an equation to determine how much taller Noah is than Elena, given Noah's height is $64 \frac{3}{4}$ inches. 2. Let $d$ represent Elena's height in inches. 3. The difference in height between Noah and Elena is Noah's height minus Elena's height. 4. Therefore, the equation to find how much taller Noah is than Elena is: $$64 \frac{3}{4} - d$$ 5. To solve for the difference, if Elena's height $d$ is known, substitute $d$ into the equation and simplify. 6. For example, if Elena is 59 inches tall, then: $$64 \frac{3}{4} - 59 = 64.75 - 59 = 5.75$$ 7. So, Noah is $5 \frac{3}{4}$ inches taller than Elena. 8. The correct equation from the answer bank that matches this is: $$59 + d = 64 \frac{3}{4}$$ which rearranges to $$64 \frac{3}{4} - d = 59$$ showing the difference between their heights. Final answer: Noah is $5 \frac{3}{4}$ inches taller than Elena.