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)
Responses
No, the ratios are not equivalent.
No, the ratios are not equivalent.
Yes, the ratios are in a proportional relationship.
Yes, the ratios are in a proportional relationship.
No, the ratio of 1 hour to $9 is not proportional.
No, the ratio of 1 hour to $9 is not proportional.
No, the ratio of 3 hours to $27 is not proportional.
To determine if the quantities in a data table are in a proportional relationship, you would need to know the specific values of the two sets of corresponding quantities. Two quantities are in a proportional relationship if the ratio of one quantity to the other is constant for every pair of corresponding values.
Unfortunately, without the actual data table or specific values to evaluate, I can't provide a definitive answer to whether the ratios are proportional or provide an exact reason why they may not be proportional.
However, given the choices you've provided, here's how you might determine which is correct if you had the data:
- If every ratio calculated from pairs of corresponding values is the same, the relationship is proportional, and you would choose "Yes, the ratios are in a proportional relationship."
- If the ratios are not equivalent to each other (i.e., you find at least one pair of values where the ratio is different), then they are not in a proportional relationship, and you would choose "No, the ratios are not equivalent."
- The statements "No, the ratio of 1 hour to $9 is not proportional" and "No, the ratio of 3 hours to $27 is not proportional" suggest specific counterexamples where the ratios are not the same as others in the data set, which would mean the relationship is not proportional.
Since I don't have the data table, I cannot give you a correct answer out of the choices provided. If you have specific values, please provide them, and I will be able to help determine if the quantities are in a proportional relationship.