Determine if the quantities in the data table are in a proportional relationship. If they do not have a proportional relationship, indicate why.
A No, the table does not count consecutively
B. No, the ratios are not equivalent
C. Yes, the data table has a proportional relationship
D. No, the ratio 7:35 is not proportional to other ratios
B. No, the ratios are not equivalent
To determine if the quantities in the data table are in a proportional relationship, we need to compare the ratios.
Looking at the given options:
A. "No, the table does not count consecutively" - This doesn't help us determine if the quantities are in a proportional relationship.
B. "No, the ratios are not equivalent" - This suggests that the ratios are not proportional, but we need to further analyze the ratios to confirm this.
C. "Yes, the data table has a proportional relationship" - This option assumes a proportional relationship without considering the ratios.
D. "No, the ratio 7:35 is not proportional to other ratios" - This implies that the other ratios might be proportional, but we need to check all the ratios to confirm.
To determine if the quantities in the data table are proportional, we need to compare all the ratios listed in the table. If all the ratios are equivalent or proportional, then we can conclude that the quantities have a proportional relationship. However, if at least one ratio is different from the others, then the quantities do not have a proportional relationship.
So, based on the information given and the analysis provided, the correct answer is option D: "No, the ratio 7:35 is not proportional to other ratios."
To determine if the quantities in the data table are in a proportional relationship, you need to examine the ratios between the quantities. If the ratios are equivalent for all pairs of numbers, then the relationship is proportional. If the ratios are not equivalent, then the relationship is not proportional.
In this case, you can compare the ratios to determine if they are equivalent. Looking at the options:
A. "No, the table does not count consecutively" - This option provides a different reason and does not relate to the notion of proportional relationships. It can be disregarded.
B. "No, the ratios are not equivalent" - This option indicates that the ratios are not equivalent, which is one of the conditions for a non-proportional relationship. It could be a possible answer.
C. "Yes, the data table has a proportional relationship" - This option states that the data table does have a proportional relationship. However, it contradicts the information given in option B. Hence, it is not a correct answer.
D. "No, the ratio 7:35 is not proportional to other ratios" - This option explicitly mentions a specific ratio (7:35) that is not proportional to the other ratios. As this contradicts the condition for a proportional relationship, it is a plausible answer.
Based on the options given, the correct answer is D. No, the ratio 7:35 is not proportional to other ratios.