Question

Which of the following, Option 1 or Option 2, is a proportion?
Option 1: 7/8 = 20/22
Option 2: 7/8 = 21/24
Option __ is a proportion.

Answer 1

To determine which option is a proportion, we need to check if the two ratios on each side of the equation are equivalent.

**Option 1:**
\[ \frac{7}{8} = \frac{20}{22} \]
To check if these two fractions are equivalent, we cross-multiply:
\[ 7 \times 22 \stackrel{?}{=} 8 \times 20 \]
\[ 154 \stackrel{?}{=} 160 \]
This is false, so Option 1 is not a proportion.

**Option 2:**
\[ \frac{7}{8} = \frac{21}{24} \]
We cross-multiply again:
\[ 7 \times 24 \stackrel{?}{=} 8 \times 21 \]
\[ 168 \stackrel{?}{=} 168 \]
This is true, so Option 2 is a proportion.

Therefore, **Option 2 is a proportion.**