Read the situations in the table below. Then drag a graph and equation to represent each situation. Indicate whether each of the relationships is proportional or non-proportional.
Draggable item
proportional
y=x+4
Line graph. X-axis range from 0 to 10; y-axis range from 0 to 20. Line runs from (0, 0) to top right; points plotted: (1, 4); (2, 8); (3, 12); (4, 16).
non-proportional
y=4x
Situation
Graph
Equation
Type of Relationship
It costs a company $4
to make each T-shirt.
Lindsay's brother is 4
years older than she is.
Line graph. X-axis range from 0 to 10; y-axis range from 0 to 50. Line runs from (0, 0) to top right; points plotted: (1, 4); (2, 8); (3, 12); (4, 16).
y=4
proportional
Line graph. X-axis range from 0 to 10; y-axis range from 0 to 20. Line starts at (0, 4) and runs flat to the right.
y=4
non-proportional
Graph: This situation does not have a specific graph as it does not involve a relationship between two variables.
Equation: This situation does not have a specific equation as it does not involve a relationship between two variables.
Type of Relationship: This situation does not have a type of relationship as it does not involve a relationship between two variables.