Which of the following, Option 1 or Option 2, is a proportion?

Option 1=
Option 2
15
0
5
6

15
18
20
18
(1 point)
Option
is a proportion.

1 answer

To determine if either option is a proportion, we need to evaluate if the ratios of the pairs of numbers are equal. A proportion means that the ratios are equal, which can be expressed as:

\(\frac{a}{b} = \frac{c}{d}\).

Option 1:

The numbers given appear to be 15, 0, 5, and 6. We need to compare these to find a ratio:

  • Assuming the pairs are (15, 0) and (5, 6), we have:

\(\frac{15}{0}\) is undefined (division by zero).

So, this cannot be considered a proportion.

Option 2:

The numbers are 15, 18, 20, and 18. Let's pair these in the same way:

  • Assuming the pairs are (15, 18) and (20, 18):

\(\frac{15}{18} \) and \(\frac{20}{18}\).

Calculating these ratios: \(\frac{15}{18} = \frac{5}{6}\),

\(\frac{20}{18} = \frac{10}{9}\).

Since \(\frac{5}{6} \neq \frac{10}{9}\), this also does not form a proportion.

Conclusion:

Neither Option 1 nor Option 2 is a proportion.