Final answer:
The set of ratios that is not equivalent is option C (24:32), which simplifies to 3:4, while the other ratios simplify to 3:5 or 1:1 that are equivalent representations of ratios.
Step-by-step explanation:
To determine which set of ratios is not equivalent, you can simplify each ratio by dividing both terms by their greatest common divisor or by observing if there is a common factor that can be canceled out.
- For ratio A (6:10), both numbers can be divided by 2, resulting in 3:5.
- For ratio B (9:15), both numbers can be divided by 3, resulting in 3:5.
- For ratio C (24:32), both numbers can be divided by 8, resulting in 3:4.
- For ratio D (30:30), both numbers are the same, which simplifies to 1:1.
Ratios A, B, and D are equivalent to 3:5 or 1:1, which are different representations of equal proportions. However, ratio C simplifies to 3:4, which is a different proportion and is therefore not equivalent to the others.