Question

Determine if 2.510=?1248 or 2.52=?1224 is a proportion.(1 point) Responses Both are proportions. Both are proportions. 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. 2.52=1224

Answer 1

To determine if the two statements \( \frac{2.5}{10} = \frac{12}{48} \) and \( \frac{2.52}{1224} \) form proportions, we analyze each.

1. For \( \frac{2.5}{10} \) and \( \frac{12}{48} \):
- Simplifying \( \frac{12}{48} \):
\[
\frac{12}{48} = \frac{1}{4}
\]
- Simplifying \( \frac{2.5}{10} \):
\[
\frac{2.5}{10} = \frac{25}{100} = \frac{1}{4}
\]
- Since \( \frac{2.5}{10} = \frac{12}{48} = \frac{1}{4} \), these fractions are equal.

2. For \( \frac{2.52}{1224} \):
- We can calculate this:
\[
2.52 = \frac{252}{100}
\]
- Now we can compare \( \frac{252}{100} \) and \( \frac{1224}{1} \):
- Cross multiplying:
\[
252 \times 1 = 252 \quad \text{and} \quad 100 \times 1224 = 122400
\]
- Since \( 252 \neq 122400 \), \( \frac{2.52}{1224} \) is not equal.

Putting this all together:
- The first statement \( \frac{2.5}{10} = \frac{12}{48} \) is a valid proportion.
- The second statement \( \frac{2.52}{1224} \) is not a valid proportion.

Thus, the conclusion is:
**Both are proportions.** This response is incorrect. The correct response is **Neither is a proportion.**