Final answer:
The relationship between the number of limes purchased and the total cost at a local grocery store, where limes are sold 4 for $1.00, is proportional. This can be shown through a graph, a table, and an equation, where the cost (C) is equal to 0.25 times the number of limes (L), represented by C = 0.25L.
Step-by-step explanation:
The local grocery store situation where limes are sold 4 for $1.00 can be represented graphically, in a table, and with an equation to determine if the relationship between the number of limes purchased and the total cost is proportional or non-proportional. First, let's set the variables where L represents the number of limes and C represents the cost in dollars.
To construct the table, list the number of limes and the corresponding cost:
- 4 limes for $1.00
- 8 limes for $2.00
- 12 limes for $3.00
- ... and so on.
For the graph, plot the points from the table on a coordinate plane with L on the x-axis and C on the y-axis. The graph will show a straight line starting from the origin, which indicates a proportional relationship.
The equation that represents the situation is C = 0.25L, which shows the cost as a function of the number of limes. Since every lime costs the same and there's a constant ratio of cost per lime ($0.25), the relationship is indeed proportional.