A reservoir contained 200 gallons of water. Jake drained the reservoir at a constant rate of 25 gallons per hour.



Which equation represents this situation if x is the number of hours the reservoir was draining and y is the number of gallons of water in the reservoir?

1 answer

To represent the situation where Jake is draining the reservoir, we can start with the initial volume of water in the reservoir and then subtract the amount of water drained over time.

Initially, the reservoir contains 200 gallons of water. Jake drains water from the reservoir at a rate of 25 gallons per hour. Therefore, after \( x \) hours, the amount of water drained can be expressed as \( 25x \) gallons.

The remaining amount of water in the reservoir, \( y \), can be expressed as:

\[ y = 200 - 25x \]

This equation represents the situation, where:

  • \( y \) is the number of gallons of water remaining in the reservoir,
  • \( x \) is the number of hours the reservoir has been draining.