Question
Question
Use the table to answer the question.
Time (min) 1 2 3 7 10
Water Used (gal) 5 10 15 35 50
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
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 table does not count consecutively.
No, the table does not count consecutively.
Yes, the data table has a proportional relationship.
Yes, the data table has a proportional relationship.
No, the ratios are not equivalent.
No, the ratios are not equivalent.
Use the table to answer the question.
Time (min) 1 2 3 7 10
Water Used (gal) 5 10 15 35 50
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
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 table does not count consecutively.
No, the table does not count consecutively.
Yes, the data table has a proportional relationship.
Yes, the data table has a proportional relationship.
No, the ratios are not equivalent.
No, the ratios are not equivalent.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios of water used to time are constant.
We can find the ratios:
- For 1 min: \( \frac{5 \text{ gal}}{1 \text{ min}} = 5 \)
- For 2 min: \( \frac{10 \text{ gal}}{2 \text{ min}} = 5 \)
- For 3 min: \( \frac{15 \text{ gal}}{3 \text{ min}} = 5 \)
- For 7 min: \( \frac{35 \text{ gal}}{7 \text{ min}} = 5 \)
- For 10 min: \( \frac{50 \text{ gal}}{10 \text{ min}} = 5 \)
Since all these ratios equal 5, the quantities in the data table are in a proportional relationship.
The correct response is:
**Yes, the data table has a proportional relationship.**
We can find the ratios:
- For 1 min: \( \frac{5 \text{ gal}}{1 \text{ min}} = 5 \)
- For 2 min: \( \frac{10 \text{ gal}}{2 \text{ min}} = 5 \)
- For 3 min: \( \frac{15 \text{ gal}}{3 \text{ min}} = 5 \)
- For 7 min: \( \frac{35 \text{ gal}}{7 \text{ min}} = 5 \)
- For 10 min: \( \frac{50 \text{ gal}}{10 \text{ min}} = 5 \)
Since all these ratios equal 5, the quantities in the data table are in a proportional relationship.
The correct response is:
**Yes, the data table has a proportional relationship.**
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