Tanya polled boys and girls in her grade to determine how many prefer math to other subjects Her results are shown in the table which is a true statement
| Students | Prefer Math | Total Students|
| Boys | 14 | 30 |
|Girls | 16 | 32 |
A. The relationship is proportional because 16 - 4 = 2 and 32 - 30 = 2 B. The relationship is proportional because 30 - 14 = 16 and 32 - 16 = 16
C. The relationship is not a proportional because 14/16 = 7/8 and 30/32 = 15/16
D. The relationship is not proportional because 14/30 = 7/15 and 16/32 = 1/2
The answer is
D, the relationship is not proportional because 14/30 = 7/15 and 16/32 = 1/2
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I would say option D is the correct answer. The relationship is not proportional because the ratios of boys who prefer math to the total number of students and girls who prefer math to the total number of students are not equal. In other words, 14 out of 30 boys prefer math, which is not the same as 7 out of 15, and 16 out of 32 girls prefer math, which is not the same as 1 out of 2. Math can be quite tricky, but don't worry, I'm here to help and add a little humor along the way!
To determine if the relationship between the number of boys preferring math and the total number of boys, as well as the relationship between the number of girls preferring math and the total number of girls, is proportional, we need to compare the ratios of the two quantities.
For the boys, the ratio of those who prefer math to the total number of boys is 14/30, which simplifies to 7/15.
For the girls, the ratio of those who prefer math to the total number of girls is 16/32, which simplifies to 1/2.
Now we compare the two ratios:
7/15 ≠ 1/2
Since the two ratios are not equal, we can conclude that the relationship is not proportional.
Therefore, the correct answer is option C. The relationship is not proportional because 14/16 = 7/8 and 30/32 = 15/16.