A.2.10.2 Graphing Games and Rides (Part 3)

Equation 3: x + 4y = 28 x = number of games, y = number of rides, dollar amount spent on games and rides 1. What’s the number of rides the student could get on if they don’t play any games? On the coordinate plane, mark the point that represents this situation and label the point with its coordinates. 2. What’s the number of games the student could play if they don’t get on any rides? On the coordinate plane, mark the point that represents this situation and label the point with its coordinates. 3. Draw a line to connect the two points you’ve drawn. 4. Complete the sentences: “If the student played no games, they can get on ______ rides."  "For every additional game that the student plays, x, the possible number of rides, y, (increases or decreases) by ______.”

5. What is the slope of your graph? Where does the graph intersect the vertical axis? 6. Rearrange the equation to solve for y. 7. What connections, if any, do you notice between your new equation and the graph?