Step 1: Recall the chemical equation for photosynthesis, which is the process by which plants convert light energy into chemical energy. The general formula is: $6 ext{CO}_2 + 6 ext{H}_2 ext{O} + ext{light energy} \rightarrow C_6H_{12}O_6 + 6 ext{O}_2$. This indicates that carbon dioxide ($ ext{CO}_2$) and water ($ ext{H}_2 ext{O}$) are the reactants, while glucose ($C_6H_{12}O_6$) and oxygen ($ ext{O}_2$) are the products.
Step 2: Analyze the options provided in the problem. Each option lists reactants and products, but only one matches the correct chemical equation for photosynthesis. The correct reactants should be $6 ext{CO}_2$ and $6 ext{H}_2 ext{O}$, and the correct products should be $C_6H_{12}O_6$ and $6 ext{O}_2$.
Step 3: Compare the given options to the correct chemical equation. Eliminate any options where the reactants or products are incorrectly labeled. For example, options that list glucose ($C_6H_{12}O_6$) as a reactant or carbon dioxide ($ ext{CO}_2$) as a product are incorrect.
Step 4: Identify the option that correctly labels the reactants as $6 ext{CO}_2$ and $6 ext{H}_2 ext{O}$, and the products as $C_6H_{12}O_6$ and $6 ext{O}_2$. This matches the chemical equation for photosynthesis.
Step 5: Confirm your choice by ensuring it aligns with the biological process of photosynthesis, where plants use carbon dioxide and water, along with light energy, to produce glucose and oxygen.