Connecting Equations to Graphs Quiz

Which equation represents the relationship between the number of games, x, and the number of rides, y, that Jada could do if she spends all her money?

• x + y = 20

• 2x + y = 20

• x + 2y = 20

Explain what each of the other two equations could mean in this situation.

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.

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.

Draw a line to connect the two points you've drawn.

Complete the sentences: "If the student played no games, they can get rides. For every additional game that the student plays, x, the possible number of rides, y, (increases or decreases) by

What is the slope of your graph? Where does the graph intersect the vertical axis?

Rearrange the equation to solve for y.

What connections, if any, do you notice between your new equation and the graph?

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.