To determine 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 analyze the ratios of red to yellow paint for each person's mixture.
A proportional relationship exists when the ratio of one quantity to another remains constant. In this case, we need to find out if each person's mixture maintains a constant ratio between the parts of red paint and yellow paint.
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Katie's mixture: If her ratio is 1 part red to 2 parts yellow (1:2) and remains consistent, it shows proportionality.
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Mike's mixture: If Mike uses 2 parts red to 1 part yellow (2:1), it is a different ratio and will not be proportional to Katie's.
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Sharon's mixture: If Sharon's ratio is 1 part red to 1 part yellow (1:1), she maintains a constant relationship and it is proportional.
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Bart's mixture: If Bart's ratio is 3 parts red to 2 parts yellow (3:2), this is again a different ratio and will not be proportional to Katie or Sharon's.
To summarize, we need to compare the ratios of red to yellow from each individual. Those maintaining a constant ratio show a proportional relationship.
Without specific numbers for each person's mixture from the graph, it's difficult to definitively state who has a proportional relationship. However, if Katie and Sharon both maintain a consistent ratio while others do not, they would represent a proportional relationship.
Please provide the actual ratios or values from the graph for a more precise answer.
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