To determine if the statements represent proportions, we can compare the two ratios derived from each expression.
For the first expression:
2.510 = ?1248
Rewriting it:
- \( \frac{2.5}{10} = \frac{12}{48} \)
Now we simplify:
- \( \frac{2.5}{10} = \frac{1}{4} \) (because \( 2.5 \div 10 = 0.25 \) or \( \frac{2.5 \times 1}{10 \times 1} = \frac{1}{4} \))
- \( \frac{12}{48} = \frac{1}{4} \) (because \( 12 \div 48 = 0.25 \) or \( \frac{12 \times 1}{48 \times 1} = \frac{1}{4} \))
So, \( \frac{2.5}{10} = \frac{12}{48} \) is indeed a proportion.
For the second expression:
2.52 = ?1224
Rewriting it:
- \( \frac{2.5}{2} = \frac{12}{24} \)
Now we simplify:
- \( \frac{2.5}{2} = 1.25 \) (or \( \frac{2.5 \times 1}{2 \times 1} = \frac{5}{4} \))
- \( \frac{12}{24} = \frac{1}{2} \) (because \( 12 \div 24 = 0.5 \) or \( \frac{12 \times 1}{24 \times 1} = \frac{1}{2} \))
Since \( \frac{2.5}{2} \neq \frac{12}{24} \) (as \( \frac{2.5}{2} = 1.25 \) and \( \frac{12}{24} = 0.5 \)), this is not a proportion.
Conclusion:
- 2.510 = 1248 is a proportion.
- 2.52 = 1224 is not a proportion.
Therefore, the response "2.510=1248 Start Fraction 2.5 over 10 End Fraction equals Start Fraction 12 over 48 End Fraction" is correct.
The overall answer is: 2.510=1248 is a proportion; 2.52=1224 is not a proportion.