Determine if the quantities in the data table re in a proportional relationship. If they indicate why.
(1 point)
No, the table does not count consecutively.
No, the ratio 7: 35 is not proportional to the other ratios.
Yes, the data table has a proportional relationship.
No, the ratios are not equivalent.
The given answer is:
No, the ratios are not equivalent.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios between the values are equivalent or consistent throughout the table.
The statement "No, the table does not count consecutively" is irrelevant to determining if the quantities are in a proportional relationship.
The statement "No, the ratio 7:35 is not proportional to the other ratios" suggests that there is inconsistency in the ratios and therefore, the quantities are not in a proportional relationship.
The statement "Yes, the data table has a proportional relationship" indicates that the ratios between the values in the table are consistent and equivalent, implying that the quantities are in a proportional relationship.
The statement "No, the ratios are not equivalent" suggests that the ratios are inconsistent and hence, the quantities are not in a proportional relationship.
Based on the information provided, it seems that the correct answer would be: No, the ratios are not equivalent.
To determine if the quantities in a data table are in a proportional relationship, you need to analyze the ratios between the values. If the ratios between any two pairs of values are constant, then the quantities are in a proportional relationship.
In the given answer choices, we can rule out the options that state "No" since they indicate that the quantities are not proportional. Let's examine the remaining option:
"Yes, the data table has a proportional relationship."
To confirm if this option is correct, we need to check if the ratios between all pairs of values in the data table are constant. Start by calculating the ratios between the values:
- For the first ratio, we have 7:35. The ratio simplifies to 1:5.
- For the second ratio, we have 14:70. The ratio simplifies to 1:5.
- For the third ratio, we have 21:105. The ratio simplifies to 1:5.
Since all three ratios simplify to the same value, 1:5, we can conclude that the quantities in the data table are indeed in a proportional relationship. Thus, the selected answer choice is correct.
To summarize, to determine if quantities in a data table are in a proportional relationship, calculate the ratios between the values and check if the ratios are constant.