Determine if the quantities in the data table are in a proportional relationship. If they do not have a proportional relationship, indicate why.
1. No, not all of the ratios are proportional or have equivalence.
2. Yes, this data table has a proportional relationship.
3. No, none of the ratios have equivalence.
4. No, you can't bike 12 miles in an hour.
Based on the given responses, it seems that the answer is:
3. No, none of the ratios have equivalence.
To determine if the quantities in a data table are in a proportional relationship, we need to compare the ratios between the quantities. Let's analyze each statement:
1. The statement says that not all of the ratios are proportional or have equivalence. This implies that some ratios may be proportional or equivalent, but not all of them. Therefore, the quantities in the data table do not have a consistent proportional relationship.
2. The statement states that the data table does have a proportional relationship. This means that all the ratios in the table are proportional or equivalent. However, since this statement contradicts the first statement, it is not consistent and cannot be correct.
3. The statement claims that none of the ratios have equivalence, meaning there are no proportional relationships present in the data table. This aligns with the first statement and indicates that the quantities do not have a proportional relationship.
4. The statement states that it is not possible to bike 12 miles in an hour. This remark is unrelated to determining a proportional relationship in the data table. It is a factual statement, as biking 12 miles in an hour depends on various factors such as speed, terrain, and the cyclist's ability.
In summary, based on the information provided, the correct answer would be option 3: No, none of the ratios have equivalence, indicating that the quantities in the data table do not have a proportional relationship.
To determine if the quantities in a data table are in a proportional relationship, one must analyze the ratios between the values.
1. The statement indicates that not all of the ratios in the data table are proportional or equivalent. To determine this, one should examine the ratios between different pairs of values in the table. If the ratios remain constant or equivalent throughout, then the quantities are in a proportional relationship. However, if the ratios vary or are not equivalent, then the quantities do not have a proportional relationship.
2. The statement suggests that this particular data table has a proportional relationship. To verify this, one should examine the ratios between different pairs of values in the table. If the ratios remain constant or equivalent for all the pairs of values, then the quantities in the data table indeed exhibit a proportional relationship.
3. The statement states emphatically that none of the ratios in the data table have equivalence. To confirm this, one should calculate the ratios between different pairs of values in the table. If all the ratios are distinct and do not match, then the quantities in the data table do not have a proportional relationship.
4. The statement suggests that it is not possible to bike 12 miles in an hour. This statement is a factual assertion based on the given information and does not require further analysis to determine a proportional relationship.