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

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

Neither is a proportion.
Neither is a proportion.

84=126
only

1 answer

To determine if the equations represent proportions, we need to see if the ratios of the two pairs of numbers are equal.

  1. For the equation \( 168 = 2412 \): To understand this as a proportion, we can check if \( \frac{168}{x} = \frac{2412}{y} \) for some \( x \) and \( y \). However, since there is no other part mentioned to compare to here, we cannot determine this as a valid proportion.

  2. For the equation \( 84 = 126 \): Similarly, for this part, we will check if \( \frac{84}{z} = \frac{126}{w} \) for some \( z \) and \( w \). But again, there isn't a second number provided to compare, making it impossible to affirm it as a proportion.

In simpler terms, a proportion is a statement that two ratios (fractions) are equal. Since both given statements do not compare proper ratios, neither represents a proportion.

Thus, the answer is Neither is a proportion.