Select the correct answer. Luke has a situation on his hands. A pipe in his house froze and cracked from cold weather. Now he has a water leak. The leak has been releasing \( \frac{2}{3} \) of a liter of water every 2 hours. If \( w \) represents the amount of water lost and \( h \) represents the number of hours, which equation represents this proportional relationship? A. \( w=3 h \) - B. \( w=\frac{1}{3} h \) C. \( h=\frac{1}{3} w \) D. \( \frac{2}{3} w=2 h \)

To determine the correct equation representing the proportional relationship between the amount of water lost (\( w \)) and the number of hours (\( h \)), let's analyze the given information: - **Rate of Leak:** \( \frac{2}{3} \) liters every 2 hours. First, find the rate of water loss per hour: \[ \text{Rate} = \frac{\frac{2}{3} \text{ liters}}{2 \text{ hours}} = \frac{1}{3} \text{ liters per hour} \] This means that for every hour that passes, \( \frac{1}{3} \) liters of water are lost. Therefore, the amount of water lost (\( w \)) is directly proportional to the number of hours (\( h \)): \[ w = \frac{1}{3}h \] **Answer:** **B. \( w = \frac{1}{3} h \)**