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

Answer 1

To determine if the two statements are proportions, we need to analyze each one.

1. First statement: \(2.510 = ?1248\)

   This can be interpreted as: \[ \frac{2.5}{10} = \frac{12}{48} \]

   Now, let's simplify both fractions:

   • For \( \frac{2.5}{10} \): \[ \frac{2.5}{10} = \frac{25}{100} = \frac{1}{4} \]
   • For \( \frac{12}{48} \): \[ \frac{12}{48} = \frac{1}{4} \]

   Since both fractions simplify to \( \frac{1}{4} \), this statement is a proportion.

2. Second statement: \(2.52 = ?1224\)

   This can be interpreted as: \[ \frac{2.5}{2} = \frac{12}{24} \]

   Now, let's simplify both fractions:

   • For \( \frac{2.5}{2} \): \[ \frac{2.5}{2} = \frac{25}{20} = \frac{5}{4} \]
   • For \( \frac{12}{24} \): \[ \frac{12}{24} = \frac{1}{2} \]

   Since \( \frac{5}{4} \) does not equal \( \frac{1}{2} \), this statement is not a proportion.

Conclusion:

The final classification:

• First statement \( \frac{2.5}{10} = \frac{12}{48} \) is a proportion.
• Second statement \( \frac{2.5}{2} = \frac{12}{24} \) is not a proportion.

Thus, the correct answer is: 2.510 = 1248 is a proportion; 2.52 = 1224 is not a proportion.