A 10 gallon water cooler is in an office provides water for the whole department each hour 30 oz of water are removed from the cooler and drink by office workers write an equation to show how long the water in the cooler will last 10 gallons is $1,280 Oz

Answer 1

To find out how long the water in the cooler will last, we can set up an equation based on the volume of water available and the rate at which it is consumed.

1. Convert the gallons to ounces: As you mentioned, 10 gallons is equal to 1,280 ounces.

2. Identify the consumption rate: The office workers drink 30 ounces of water per hour.

3. Set up the equation: Let \( t \) represent the number of hours the water will last.

The total amount of water consumed over \( t \) hours can be expressed as \( 30t \) ounces. We set up the equation based on the initial amount of water:

\[ 30t = 1280 \]

4. Solve for \( t \):

\[ t = \frac{1280}{30} \approx 42.67 \]

Thus, the water in the cooler will last approximately 42.67 hours.

To summarize, the equation that represents how long the water in the cooler will last is:

\[ 30t = 1280 \]

Where \( t \) is the number of hours the water will last. The final answer is approximately 42.67 hours.