solve problems involving the intersection of a linear function and a quadratic function graphically and algebraically (e.g., determine the time when two identical cylindrical water tanks contain equal volumes of water, if one tank is being filled at a constant rate and the other is being emptied through a hole in the bottom) Sample problem: Determine, through investigation, the equations of the lines that have a slope of 2 and that intersect the quadratic function once; twice; never.