Determine if the quantities in the data table are in a proportional relationship. If they do not have a proportional relationship, indi
why.
(1 point)
O No, not all of the ratios are proportional or have equivalence.
O No, you can't bike 12 miles in an hour.
O No, none of the ratios have equivalence.
• Yes, this data table has a proportional relationship.
To determine if the quantities in the data table are in a proportional relationship, we need to examine the ratios between the values. Without the actual data table, it is not possible to determine if the quantities are in a proportional relationship or not.
To determine if the quantities in the data table are in a proportional relationship, we need to analyze the ratios between the values. If all the ratios are equal, then the quantities are proportional.
If the statement says, "No, not all of the ratios are proportional or have equivalence," it means that at least one ratio is not equal to the others. Therefore, the quantities do not have a proportional relationship.
If the statement says, "No, you can't bike 12 miles in an hour," it means that the ratio between distance and time is not consistent throughout the data table. This would also indicate that the quantities are not proportional.
If the statement says, "No, none of the ratios have equivalence," it means that none of the ratios are equal. Again, this suggests that the quantities are not in a proportional relationship.
However, if the statement says, "Yes, this data table has a proportional relationship," it means that all the ratios between the quantities are equal, indicating a proportional relationship.
To give a definitive answer, we would need to see the specific values in the data table and calculate the ratios. Without that information, we cannot determine the correct response.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios between them remain constant.
To do this, we can compare the ratios of the quantities. If the ratios remain the same or are equivalent for all pairs of quantities, then we can conclude that the data table has a proportional relationship.
If the ratios vary or are not equivalent for all pairs, then we can say that the data table does not have a proportional relationship.
Based on the given answer choices:
- "No, not all of the ratios are proportional or have equivalence" indicates that there are some ratios that do not remain constant.
- "No, you can't bike 12 miles in an hour" is not a valid explanation for determining if the quantities are proportional or not. It is a statement about the specific values in the data table, not the relationship between the quantities.
- "No, none of the ratios have equivalence" means that none of the ratios between the quantities are equal, indicating a lack of a proportional relationship.
- "Yes, this data table has a proportional relationship" suggests that all the ratios between the quantities remain constant or equivalent.
Therefore, based on the information provided, the correct answer is "No, none of the ratios have equivalence" which indicates that the data table does not have a proportional relationship.