\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}

To solve the problem, we need to determine how many bottles of water are left in the vending machine after 6 people each purchased 2 bottles. 1. **Identify the known conditions:** - The vending machine initially has 100 bottles of water. - 6 people each purchased 2 bottles of water. 2. **Calculate the total number of bottles purchased:** - Each person buys 2 bottles, so the total number of bottles purchased by 6 people is: \[ \text{Total bottles purchased} = 6 \cdot 2 \] 3. **Calculate the remaining bottles:** - To find out how many bottles are left, we subtract the total number of bottles purchased from the initial amount: \[ \text{Remaining bottles} = 100 - (6 \cdot 2) \] 4. **Evaluate the expression:** - The expression \( 100 - (6 \cdot 2) \) simplifies to: \[ 100 - 12 = 88 \] 5. **Conclusion:** - The correct expression that tells you how many bottles of water were left is: \[ 100 - (6 \cdot 2) \] - The other expression \( 100 - (6 \div 2) \) does not represent the correct calculation for this scenario. Thus, the answer is \( 100 - (6 \cdot 2) \).