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.
• 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.
• No, not all of the ratios are proportional or have equivalence.
To determine if the quantities in the data table are in a proportional relationship, we need to analyze the ratios between the quantities. If the ratios are constant or equivalent, then the quantities are in a proportional relationship. If not, then they do not have a proportional relationship.
Based on the given options, the correct answer is:
• No, not all of the ratios are proportional or have equivalence.
This indicates that the quantities in the data table do not have a proportional relationship.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios between the values are constant.
First, let's examine the options provided:
- Option 1: "No, not all of the ratios are proportional or have equivalence." This suggests that there might be some ratios that are not constant, indicating a lack of proportionality among the quantities in the table.
- Option 2: "No, you can't bike 12 miles in an hour." This statement is not a valid reason to determine if the quantities are proportional. It seems to be pointing out a specific value in the table, rather than evaluating the overall relationship between the quantities.
- Option 3: "No, none of the ratios have equivalence." This option suggests that none of the ratios between the values in the table are constant, indicating a lack of proportionality.
- Option 4: "Yes, this data table has a proportional relationship." This option indicates that all the ratios in the table are constant, implying a proportional relationship.
To determine the answer, we need more information about the data table itself. Without the actual data, it's impossible to provide a definitive answer. To determine if the quantities in the data table are proportional, you would need to calculate the ratios between the values and check if they remain constant throughout the table. If there is at least one ratio that is not constant, then the quantities do not have a proportional relationship.