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.
8 months ago
8 months ago
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.
8 months ago
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.