Final answer:
Given the cost of $21 for 84 rings at a carnival game, we calculated the cost per ring to be $0.25. We then created a table of equivalent ratios based on this rate and discussed plotting these points on a coordinate graph.
Step-by-step explanation:
To solve the problem, we will calculate the cost per ring and then use this to create a table of equivalent ratios. We can then plot these ratios as points on a coordinate plane. Given that Colton spent $21 for 84 rings, we can calculate the cost per ring:
$21 / 84 = $0.25 per ring. Now, using this rate, we can fill in a table with equivalent ratios:
1 ring costs $0.25
2 rings cost $0.50
3 rings cost $0.75
... and so on, up to:
84 rings cost $21.00
Each of these pairs (number of rings, total cost) can then be plotted on a coordinate plane, where the number of rings is on the horizontal axis (X-axis) and the total cost is on the vertical axis (Y-axis). For example, one of the points would be (1, 0.25), another would be (2, 0.50), continuing in this manner until (84, 21.00).