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
of a liter of water every 2 hours. If represents the amount of water lost and represents the number of hours, which equation represents this
proportional relationship?
A. -
B.
C.
D.

Ask by Ball Mccarthy. in the United States

Jan 24,2025

Question

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
of a liter of water every 2 hours. If represents the amount of water lost and represents the number of hours, which equation represents this
proportional relationship?
A. -
B.
C.
D.

Ask by Ball Mccarthy. in the United States

Jan 24,2025

UpStudy AI · Accepted Answer

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. $$ w = \frac{1}{3} h $$**
$$ w = \frac{1}{3} h $$

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