Question

Determine if one, both, or neither of the following is a proportion. 168=?2412
, 84=?126
(1 point)
Responses

168=2412
only
Start Fraction 16 over 8 End Fraction equals Start Fraction 24 over 12 End Fraction only

Neither is a proportion.
Neither is a proportion.

168=2412
, 84=126
Start Fraction 16 over 8 End Fraction equals Start Fraction 24 over 12 End Fraction , Start Fraction 8 over 4 End Fraction equals Start Fraction 12 over 6 End Fraction

84=126
only

Answer 1

To determine if either of the given equations represents a proportion, we need to examine if the ratios on each side are equal.

1. **For the first equation:**
\( 168=?2412 \)
This is not in a standard format to directly evaluate, but we interpret it as \( \frac{168}{x} = \frac{2412}{y} \), and need values for \( x \) and \( y \) to assess. There is insufficient information here.

2. **For the second equation:**
\( 84=?126 \)
Similarly, we need context for \( ? \). If we interpret it as \( \frac{84}{x} = \frac{126}{y} \), like the first equation, we require more data to evaluate it.

However, if we consider typical proportion checks:

1. **To check a basic proportion**:
We need to check if \( \frac{168}{2412} \) is equal to \( \frac{84}{126} \).

Let's simplify \( \frac{84}{126} \):
- \( \frac{84}{126} = \frac{2}{3} \)

Now, simplify \( \frac{168}{2412} \):
- First simplify 2412: \( 2412 = 168 * 14.5 \), implying \( \frac{168}{2412} = \frac{1}{14.5} \).

Since \( \frac{1}{14.5} \) is clearly not equal to \( \frac{2}{3} \), this first pair is **not a proportion**.

2. Therefore, **Neither is a proportion.**

So based on the given options, the correct response is:
**Neither is a proportion.**