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.
No, the table does not count consecutively.
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.
First, let's look at the given responses:
1. "Yes, the data table has a proportional relationship."
2. "No, the ratio 7:35 is not proportional to the other ratios."
3. "No, the ratios are not equivalent."
4. "No, the table does not count consecutively."
Based on these responses, it seems that the data table does not have a proportional relationship. The ratio of 7:35 is not proportional to the other ratios, indicating that the quantities in the table do not vary consistently.
Additionally, the statement "No, the ratios are not equivalent" further supports the absence of a proportional relationship.
Lastly, the statement "No, the table does not count consecutively" suggests that the quantities in the data table are not incrementing in a regular pattern, which further confirms that they are not in a proportional relationship.
In conclusion, the quantities in the data table do not have a proportional relationship because the ratios are not consistent, they are not equivalent, and the table does not depict a consecutive counting pattern.
To determine if the quantities in the data table are in a proportional relationship, we need to examine the ratios of the quantities given. If the ratios are equivalent, then the quantities are in a proportional relationship.
In this case, let's look at the ratios:
7:35 = 1:5
35:70 = 1:2
35:210 = 1:6
7:21 = 1:3
By examining these ratios, we can see that they are not equivalent. Specifically, the ratio of 7 to 35 (1:5) is not proportional to the other ratios. Therefore, the quantities in the data table do not have a proportional relationship.
Now you can select the option that explains this finding, which is "No, the ratio of 7 to 35 is not proportional to the other ratios."