Question

1. a cup in joey’s house contains 8 ounces of water and is leaking at a rate of 0.25 ounces per minute. a cup sitting outside of his house contains 4 ounces of water and is collecting water at a rate of 1.2 ounces per minute. write an equation that could be used to find the number of minutes that it will take for each cup to contain the same number of ounces of water.

Explanation:

Step1: Define Variables

Let \( t \) be the number of minutes.

Step2: Water in Joey's House Cup

Initial water: 8 ounces, leaking at 0.25 oz/min. So water after \( t \) minutes: \( 8 - 0.25t \).

Step3: Water in Outside Cup

Initial water: 4 ounces, collecting at 1.2 oz/min. So water after \( t \) minutes: \( 4 + 1.2t \).

Step4: Set Equal for Same Ounces

When they have the same ounces, \( 8 - 0.25t = 4 + 1.2t \).

Answer:

\( 8 - 0.25t = 4 + 1.2t \)