Asked by ψ(｀∇´)ψ
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 ratios are not equivalent.
No, the ratios are not equivalent.
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.
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 ratios are not equivalent.
No, the ratios are not equivalent.
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.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine if the quantities in the data table represent a proportional relationship, we can look at the ratios of water used to time.
First, let's find the ratios for each data point:
1. For 1 minute: \( \frac{5 \text{ gal}}{1 \text{ min}} = 5 \)
2. For 2 minutes: \( \frac{10 \text{ gal}}{2 \text{ min}} = 5 \)
3. For 3 minutes: \( \frac{15 \text{ gal}}{3 \text{ min}} = 5 \)
4. For 7 minutes: \( \frac{35 \text{ gal}}{7 \text{ min}} = 5 \)
5. For 10 minutes: \( \frac{50 \text{ gal}}{10 \text{ min}} = 5 \)
Since all the ratios are equal to 5, it can be concluded that the quantities in the data table are in a proportional relationship.
Thus, the correct response would be:
**Yes, the data table has a proportional relationship.**
First, let's find the ratios for each data point:
1. For 1 minute: \( \frac{5 \text{ gal}}{1 \text{ min}} = 5 \)
2. For 2 minutes: \( \frac{10 \text{ gal}}{2 \text{ min}} = 5 \)
3. For 3 minutes: \( \frac{15 \text{ gal}}{3 \text{ min}} = 5 \)
4. For 7 minutes: \( \frac{35 \text{ gal}}{7 \text{ min}} = 5 \)
5. For 10 minutes: \( \frac{50 \text{ gal}}{10 \text{ min}} = 5 \)
Since all the ratios are equal to 5, it can be concluded that the quantities in the data table are in a proportional relationship.
Thus, the correct response would be:
**Yes, the data table has a proportional relationship.**
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