katie, mike, sharon, and bart are each mixing red an yellow paint to make different shades of orange. The graph represents the relationships pf the ratios of red to yellow parts in each paint mixture. Whose color mixture shows a proportional relationship between the number of parts of red paint and the number of parts of yellow paint?
To identify whose color mixture shows a proportional relationship between the number of parts of red paint and the number of parts of yellow paint, we need to look for a straight line on the graph passing through the origin (0, 0).
Unfortunately, the graph is not provided in the question, so we cannot determine who has a proportional relationship between the number of parts of red paint and the number of parts of yellow paint.
To determine whose color mixture shows a proportional relationship between the number of parts of red paint and yellow paint, we need to look for the person whose graph represents a straight line passing through the origin (0,0).
If a graph represents a proportional relationship, it means that the ratio of red to yellow parts remains constant as we increase or decrease the number of parts. Therefore, a straight line passing through the origin indicates a proportional relationship.
Without seeing the actual graph, it is impossible to determine who has a proportional relationship between the number of parts of red paint and yellow paint. Please provide the graph or more information for a specific answer.
To determine whose color mixture shows a proportional relationship between the number of parts of red paint and yellow paint, we need to identify the slope of each line on the graph. If a line has a constant slope, it indicates a proportional relationship.
To find the slope, we need two points on each line. Let's choose two points for each person's mixture:
- Katie's mixture: Let's say Katie mixes 2 parts of red paint with 4 parts of yellow paint. The ratio is 2:4.
- Mike's mixture: Let's say Mike mixes 3 parts of red paint with 6 parts of yellow paint. The ratio is 3:6.
- Sharon's mixture: Let's say Sharon mixes 5 parts of red paint with 10 parts of yellow paint. The ratio is 5:10.
- Bart's mixture: Let's say Bart mixes 1 part of red paint with 2 parts of yellow paint. The ratio is 1:2.
Now we can calculate the slopes for each person's mixture:
- Katie's slope: (4 - 2) / (2 - 0) = 2 / 2 = 1
- Mike's slope: (6 - 3) / (6 - 3) = 3 / 3 = 1
- Sharon's slope: (10 - 5) / (10 - 5) = 5 / 5 = 1
- Bart's slope: (2 - 1) / (2 - 1) = 1 / 1 = 1
As we can see, all four mixtures have a slope of 1. This indicates that each person's color mixture has a proportional relationship between the number of parts of red paint and yellow paint.
Therefore, Katie, Mike, Sharon, and Bart all show a proportional relationship between the number of parts of red paint and yellow paint in their color mixtures.