\begin{tabular}{l} 1)) A vending machine had 100 bottles of \\ water. During a hot day, 6 people each \\ purchased 2 bottles of water from the \\ vending machine. \\ )) Which expression tells you how many \\ tttles of water were left? \\ \hline \( 100-(6 \cdot 2) \) \\ \hline \( 100-(6 \div 2) \)\end{tabular}

When the six people each purchased two bottles, that means in total they bought \(6 \cdot 2 = 12\) bottles of water. After these purchases, the vending machine would have \(100 - 12 = 88\) bottles left. So, the correct expression to represent this scenario is \(100 - (6 \cdot 2)\). Mathematically, this is a straightforward operation! If you're ever in doubt about these types of expressions, just break it down into smaller parts: compute the total bottles sold first and then subtract from the initial amount. Avoiding division where it’s not relevant can help clear up confusion!