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)
Responses
No, not all of the ratios are proportional or have equivalence.
No, not all of the ratios are proportional or have equivalence.
Yes, this data table has a proportional relationship.
Yes, this data table has a proportional relationship.
No, none of the ratios have equivalence.
No, none of the ratios have equivalence.
No, you can’t bike 12 miles in an hour.
Based on the information provided, it is not possible to determine if the quantities in the data table are in 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 quantities are consistent or equivalent.
Based on the given responses, it is difficult to provide a definitive answer. The first three options suggest that not all of the ratios are proportional or have equivalence, but the last response states that it is not possible to bike 12 miles in an hour. This statement implies that the given data table does not represent a proportional relationship since biking for an hour would not result in covering a distance of 12 miles.
Therefore, the correct response would be: 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 check if the ratios between the values are consistent.
If the ratios between all pairs of values are the same, then the quantities are in a proportional relationship.
To check this, we can divide the values in each row by the values in the first column (assuming the first column represents the independent variable and the other columns represent the dependent variables). If all the resulting ratios are the same, then the quantities are proportional.
In this case, the answer options provided are:
- "No, not all of the ratios are proportional or have equivalence."
- "Yes, this data table has a proportional relationship."
- "No, none of the ratios have equivalence."
- "No, you can't bike 12 miles in an hour."
From these options, the correct answer to determine if the quantities are in a proportional relationship is:
- "Yes, this data table has a proportional relationship."
As for the last option, "No, you can't bike 12 miles in an hour," it is not directly related to determining the proportional relationship in the data table. It seems to be a statement about the practicality of biking a specific distance in a specific time.