Determine if the quantity in the data table re-in a proportional relationship, if they do not have a proportional relationship indicate why

To determine if the quantities in the data table represent a proportional relationship, we need to check if the ratio of one quantity to the other remains constant for all the data points.

Without the specific data table provided, I cannot make any calculations or comparisons. However, I can guide you in assessing whether the quantities have a proportional relationship or not. Here's a general procedure:

1. Examine a few data points from the table. Choose pairs of values for the quantities and write down the ratios.
2. Calculate the ratio for each pair by dividing one quantity by the other.
3. Compare the ratios between different pairs. If the ratios are the same or very close for each pair, then the quantities have a proportional relationship. If the ratios differ significantly, then the quantities do not have a proportional relationship.

Remember, without the exact data table, I can only provide guidance on how to determine the relationship between quantities.