Final answer:
To represent the ratio relationship using a graph, create a graph with cups of powder mix on the x-axis and gallons of water on the y-axis. To find the number of cups of powder mix used with 9 gallons of water, set up a proportion and solve for x.
Step-by-step explanation:
To represent the ratio relationship between the cups of powder mix and gallons of water, you can create a graph with cups of powder mix on the x-axis and gallons of water on the y-axis. Each point on the graph will represent a different amount of cups of powder mix used with a corresponding amount of gallons of water. The graph will have a positive slope because as the amount of gallons of water increases, the amount of cups of powder mix also increases.
To find how many cups of powder mix are used with 9 gallons of water, you can use the given ratio of 2 cups of powder mix for every 5 gallons of water. You can set up a proportion:
2 cups / 5 gallons = x cups / 9 gallons
Cross multiplying, you get 2 * 9 = 5 * x
Simplifying, you get 18 = 5x
Dividing both sides by 5, you get x = 3.6 cups
Therefore, 3.6 cups of powder mix are used with 9 gallons of water.