Oh, let's dive into the world of linear equations and rainwater management! ☔
To represent the number of gallons of rainwater remaining in the cistern, g, depending on the number of elapsed hours, h, that the drip irrigation system has been watering the garden, we can set up a linear equation based on the given information.
Given:
- Initial amount of rainwater collected in the cistern: 210 gallons
- Rate of the drip irrigation system: 25 gallons per hour
Let's break it down step by step:
1. We start with the initial amount of rainwater in the cistern, which is 210 gallons.
2. As the drip irrigation system works continuously, it removes 25 gallons of water from the cistern for every hour of operation.
3. Therefore, for each hour that passes, the amount of rainwater remaining in the cistern decreases by 25 gallons.
Based on these observations, we can write the linear equation as follows:
g = 210 - 25h
where:
- g represents the number of gallons of rainwater remaining in the cistern.
- h represents the number of elapsed hours that the drip irrigation system has been watering the garden.
This equation allows us to calculate the amount of rainwater remaining in the cistern based on the number of hours the system has been operating.
Keep those plants hydrated and flourishing, my dear!