Final answer:
The points that could be on the graph of the relationship between the number of plates bought and the cost of the plates are (2, $2.50), (6, $7.50), and (7, $8.75).
Step-by-step explanation:
The relationship between the number of plates bought and the cost of the plates can be represented on a graph. The x-axis represents the number of plates bought, and the y-axis represents the cost of the plates. To determine the points that could be on the graph, we need to examine the given information.
Loren bought 2 plates for $2.50, Dana bought 6 plates for $7.50, and Shane bought 7 plates for $8.75. We can calculate the cost per plate by dividing the total cost by the number of plates bought.
For Loren: $2.50 ÷ 2 plates = $1.25 per plate
For Dana: $7.50 ÷ 6 plates = $1.25 per plate
For Shane: $8.75 ÷ 7 plates ≈ $1.25 per plate
From these calculations, we can see that the cost per plate for all three purchases is the same, $1.25. Therefore, the points (2, $2.50), (6, $7.50), and (7, $8.75) could all be on the graph representing the relationship between the number of plates bought and the cost of the plates.