Determine if  2.510=?1248 or  2.52=?1224 is a proportion.(1 point)Responses2.52=1224Start Fraction 2.5 over 2 End Fraction equals Start Fraction 12 over 24 End Fraction2.510=1248Start Fraction 2.5 over 10 End Fraction equals Start Fraction 12 over 48 End FractionNeither is a proportion.Neither is a proportion.Both are proportions.Both are proportions.

1 answer

To determine if these statements are proportions, we need to check if the ratios on both sides of the equations are equal.

  1. Check \( \frac{2.5}{10} \) and \( \frac{12}{48} \): \[ \frac{2.5}{10} = 0.25 \] \[ \frac{12}{48} = 0.25 \] Since \( 0.25 = 0.25 \), the first statement \( 2.510 = 1248 \) is indeed a proportion.

  2. Check \( \frac{2.52}{12} \) and \( \frac{24}{24} \): \[ \frac{2.52}{12} = 0.21 \] \[ \frac{12}{24} = 0.5 \] Since \( 0.21 \neq 0.5 \), the second statement \( 2.52 = 1224 \) is not a proportion.

Therefore, the correct answer is:

Only the first statement is a proportion.