Determine if one, both, or neither of the following is a proportion. 16/8 = 24/12, 8/4 = 126

A. 16/8 = 24/12 only

B. 16/8 = 24/12, 8/4 = 12/6

3. Neither is a proportion.

D. 8/4 = 12/6 only

1 answer

The answer is (A) 16/8 = 24/12 only.

To check if a set of ratios is a proportion or not, we need to cross-multiply and see if the two products are equal.

For the first set of ratios 16/8 = 24/12:

Cross-multiplying, we get 16 x 12 = 8 x 24, which simplifies to 192 = 192. Therefore, the two products are equal, and this set of ratios is a proportion.

For the second set of ratios, 8/4 = 126:

Cross-multiplying, we get 8 x 1 = 4 x 126, which simplifies to 8 = 504. Therefore, the two products are not equal, and this set of ratios is not a proportion.

Thus, only the first set of ratios is a proportion, and the answer is (A) 16/8 = 24/12 only.