Question
Which number keeps this table from being proportional?
Cats: 3, 12, 24, and 36 Dogs: 4, 16, 30, and 48
12
24
30
48
Cats: 3, 12, 24, and 36 Dogs: 4, 16, 30, and 48
12
24
30
48
Answers
GPT 3.5
The number 30 keeps this table from being proportional.
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show your work
GPT 3.5
To determine if a table is proportional, we need to check if the ratios of corresponding values in each row are equal.
For the Cats column:
- The ratio of 3 to 12 is 3/12 = 0.25.
- The ratio of 12 to 24 is 12/24 = 0.5.
- The ratio of 24 to 36 is 24/36 = 0.67.
For the Dogs column:
- The ratio of 4 to 16 is 4/16 = 0.25.
- The ratio of 16 to 30 is 16/30 ≈ 0.533.
- The ratio of 30 to 48 is 30/48 = 0.625.
Since the ratios in the Cats column are not equal to the corresponding ratios in the Dogs column, the table is not proportional. The number 30 (in the Dogs column) shows the lack of proportionality.
For the Cats column:
- The ratio of 3 to 12 is 3/12 = 0.25.
- The ratio of 12 to 24 is 12/24 = 0.5.
- The ratio of 24 to 36 is 24/36 = 0.67.
For the Dogs column:
- The ratio of 4 to 16 is 4/16 = 0.25.
- The ratio of 16 to 30 is 16/30 ≈ 0.533.
- The ratio of 30 to 48 is 30/48 = 0.625.
Since the ratios in the Cats column are not equal to the corresponding ratios in the Dogs column, the table is not proportional. The number 30 (in the Dogs column) shows the lack of proportionality.