Graphs of Linear Situations
Paul is draining his swimming pool to replace the liner. Paul’s pool contains \(15,000\) gallons of water. He is draining it with a pump that removes \(800\) gallons per hour. We can use \(x\) to represent the number of hours during which the water is pumped and \(y\) to represent the number of gallons of water remaining in the pool.
1. What is the slope or rate of change for this linear situation?
2. What is the \(y\)-intercept (or starting point) for this linear situation?
\(y\)-intercept: ( _ , _ )
3. Write an algebraic equation (or function) for this situation.
3. Graph the ordered pairs from the table above on the grid below, and draw a line through the points.
Interpreting the Situation
4. How many hours will it take for the pool to be empty?
5. What would negative \(y\)-values in the table represent?