Final answer:
To create a table of equivalent ratios for Colton's carnival game, the ratio of dollars to rings tossed is calculated and scaled up to find different data points. These points represent various combinations of rings that can be tossed for a set amount of money, based on the initial ratio of $21 for 84 tosses.
Step-by-step explanation:
The question involves determining equivalent ratios for a carnival game situation, where Colton spends a certain amount of money on tossing rings. To create a table of equivalent ratios, we need to find multiples of the given ratio, which is $21 for 84 tosses. In order to plot these points, one would need to find ratios that represent how many rings can be tossed for different amounts of money, while maintaining the same cost-to-ring ratio.
For example, we can calculate the cost for one ring by dividing 21 dollars by 84 rings, which gives us $0.25 per ring. From here, we can scale up to find out how much it would cost for different numbers of rings. For instance, 2 rings would cost $0.50, 4 rings would cost $1, and so on. Each of these pairs (number of tosses, cost in dollars) can be plotted on a coordinate system with tosses on the horizontal axis and dollars on the vertical axis. These points would lie on a straight line, indicating a constant rate of exchange between money spent and rings tossed.