Question

Graphing Linear Equations Unit Test
2 of 182 of 18 Items
Question
Which of the following, Option 1 or Option 2, is a proportion?

Option 1: 56=1518


Option 2: 56=2018

Answer 1

To determine which of the options represents a proportion, we need to check if the two ratios are equivalent. A proportion is an equation that states that two ratios are equal.

For Option 1: \( \frac{5}{6} = \frac{15}{18} \)

To verify, we can simplify \( \frac{15}{18} \):
- Both the numerator and the denominator can be divided by 3:
\[
\frac{15 \div 3}{18 \div 3} = \frac{5}{6}
\]

Since \( \frac{5}{6} = \frac{5}{6} \), Option 1 is a proportion.

For Option 2: \( \frac{5}{6} = \frac{20}{18} \)

Let's simplify \( \frac{20}{18} \):
- Both can be divided by 2:
\[
\frac{20 \div 2}{18 \div 2} = \frac{10}{9}
\]

Since \( \frac{5}{6} \neq \frac{10}{9} \), Option 2 is not a proportion.

Therefore, the answer is:
**Option 1 is a proportion.**