determine if the quantities in the data table re in a proportional relationship. If they do not have a proportional relationship, indicate why. (1 point) Responses Yes, the data table has a proportional relationship. Yes, the data table has a proportional relationship. No, the ratio 7:35 is not proportional to the other ratios. No, the ratio ratio of 7 to 35 is not proportional to the other ratios. No, the ratios are not equivalent. No, the ratios are not equivalent. No, the table does not count consecutively.
Based on the information provided, it is not possible to determine if the quantities in the data table are in a proportional relationship.
Based on the provided responses, it seems that the quantities in the data table are not in a proportional relationship. The reasons given include:
- The ratio 7:35 is not proportional to the other ratios.
- The ratios are not equivalent.
- The table does not count consecutively.
To determine if the quantities in a data table are in a proportional relationship, you need to compare the ratios between the numbers in each row or column.
First, let's define what a proportional relationship means. Two quantities are said to be in a proportional relationship if their ratios are equivalent or if they can be simplified to the same value.
In this case, we look for ratios mentioned in the responses: 7:35, 7:14, and 7:7.
To check if these ratios are proportional, we compare them to see if they are equivalent or can be simplified to the same value.
Let's simplify each ratio:
- 7:35 can be simplified by dividing both numbers by 7, resulting in 1:5.
- 7:14 can be simplified by dividing both numbers by 7, resulting in 1:2.
- 7:7 is already simplified and remains as 1:1.
Now, let's compare the simplified ratios:
- 1:5 is not equal to 1:2, so the ratio 7:35 is not proportional to the other ratios.
- However, 1:5 and 1:1 are equivalent since they both simplify to 1:5.
Therefore, the correct answer is: No, the ratio 7:35 is not proportional to the other ratios.