Answer:
these pairs represent proportional relationships.
Step-by-step explanation:
The ratios that are provided are 16:18, 20:22, 8:10, 12:14, and 4:6. Let's investigate if the links between these pairings are proportionate.
The values for one quantity in a proportional relationship are obtained by multiplying each value by the same number. In particular, the connection between two quantities, A and B, is proportional if and only if:
A/B = Constant
Let's now examine each of the provided ratios:
1. 4:6:
- The ratio simplifies to 2:3.
- The constant ratio is 2/3.
2. 8:10:
- The ratio simplifies to 4:5.
- The constant ratio is 4/5.
3. 12:14:
- The ratio simplifies to 6:7.
- The constant ratio is 6/7.
4. 16:18:
- The ratio simplifies to 8:9.
- The constant ratio is 8/9.
5. 20:22:
- The ratio simplifies to 10:11.
- The constant ratio is 10/11.
These pairings show proportional connections since every simplified ratio has the same constant value.
