inal answer:
Two ratios equivalent to 1:4 are 2:8 and 3:12, as both result from multiplying the terms of the original ratio by a constant (2 and 3, respectively), maintaining the proportional relationship.
Step-by-step explanation:
To find two ratios that are equivalent to 1:4, we need to find two pairs of numbers that have the same relationship. If we multiply or divide both parts of the ratio by the same number, the ratios will remain equivalent.
The ratio 1:4 means for every single unit of the first quantity, there are four units of the second quantity. To create equivalent ratios, we can multiply or divide both terms of the ratio by the same non-zero number.
- Multiplying both terms by 2 gives us 2:8, which is equivalent to 1:4.
- Multiplying both terms by 3 gives us 3:12, which is also equivalent to 1:4.
Notice that 2 divided by 8 equals 0.25 and 3 divided by 12 also equals 0.25, confirming that both ratios are indeed equivalent to 1:4.