Determine if the quantities in the data table are in a proportional relationship. If they do not have a proportional relationship, indicate why.
(1 point)
• No, not all of the ratios are proportional or have equivalence.
• Yes, this data table has a proportional relationship.
• No, you can't bike 12 miles in an hour.
• No, none of the ratios have equivalence.
No, not all of the ratios are proportional or have equivalence.
Determine if the quantities in the data table are in a proportional relationship. If they are not in a proportional relationship, indicate why.
(1 point)
• No, the ratio of 3 hours to $27 is not proportional.
• Yes, the ratios are in a proportional relationship.
• No, the ratios are not equivalent.
• No, the ratio of 1 hour to $9 is not proportional.
No, the ratio of 1 hour to $9 is not proportional.
To determine if the quantities in the data table are in a proportional relationship, we need to examine the ratios between the values. If the ratios are consistent and equal, then we can conclude that the quantities are in a proportional relationship. However, if the ratios are not consistent or not equal, then we can say that the quantities do not have a proportional relationship.
Based on the given answer choices, the first three choices provide some explanation, while the fourth choice simply states that none of the ratios have equivalence, which does not explain why the quantities do not have a proportional relationship.
Let's take the first choice as an example: "No, not all of the ratios are proportional or have equivalence." This answer choice suggests that there are some ratios in the data table that are not proportional or not equivalent. In this case, we should check each pair of quantities in the table to see if their ratios are equal. If we find any pairs of quantities with unequal ratios, then the answer choice is correct.
Therefore, to properly determine if the quantities in the data table are in a proportional relationship, we need to analyze each ratio and check for consistency and equality.