Final answer:
Equivalent ratios to 14:7 are found by simplifying given options and comparing them to the original ratio, resulting in options A (2:1) and C (8:4) being the correct equivalents.
Step-by-step explanation:
To determine which ratios are equivalent to the ratio 14:7, you need to simplify or scale each option and compare it to the original ratio. A ratio is equivalent to another if you can multiply or divide both terms by the same number to get one from the other.
The original ratio, 14:7, can be simplified by dividing both numbers by 7, which gives us 2:1. This means any ratio that can be simplified to 2:1 is equivalent.
Option A is 2:1, which is the same as the simplified original ratio, so it is equivalent.Option B is 4:3, which cannot be simplified to 2:1, so it is not equivalent.Option C is 8:4, which simplifies to 2:1 (by dividing both terms by 4), so it is equivalent.
Option D is 7:14, which is the reverse of the original ratio and simplifies to 1:2, not 2:1, so it is not equivalent in the context typically intended for ratio equivalence.
Therefore, the equivalent ratios to 14:7 are given by options A and C only, making the correct answer to the question C (A, C).