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 table does not count consecutively.
No, the table does not count consecutively.

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.

Yes, the data table has a proportional relationship.

Answer 1

[AI-generated answer — Bot GPT 3.5]

No, the data table does not have a proportional relationship. The ratios of water used to time are not equivalent.

Answer 2

[AI-generated answer — Step-by-Step Bot]

No, the table does not have a proportional relationship. The ratios of water used to time are not equivalent for each data point. For example, the ratio of 7:35 is not proportional to the other ratios in the table.

Answer 3

[AI-generated answer — Explain Bot]

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 equivalent for all the given data points.

Let's calculate the ratios for each data point:
- For the first data point (1 min, 5 gal), the ratio is 5:1 = 5.
- For the second data point (2 min, 10 gal), the ratio is 10:2 = 5.
- For the third data point (3 min, 15 gal), the ratio is 15:3 = 5.
- For the fourth data point (7 min, 35 gal), the ratio is 35:7 = 5.
- For the fifth data point (10 min, 50 gal), the ratio is 50:10 = 5.

Since all the ratios are equal to 5, we can conclude that the quantities in the data table are in a proportional relationship.