Question

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

2.5/2=12/24

Neither is a proportion.

2.5/10=12/48

Both are proportions.

Answer 1

To determine if \( 2.510 = 1248 \) or \( 2.52 = 1224 \) represents a proportion, we need to check the ratios.

A proportion states that two ratios are equal. The given options indicate that we should check the following ratios:

1. For \( 2.510 = 1248 \):
\[
\frac{2.5}{10} = \frac{12}{48}
\]

2. For \( 2.52 = 1224 \):
\[
\frac{2.52}{2} = \frac{12}{24}
\]

Now, let's check if these ratios are equal:

### For \( 2.5/10 = 12/48 \)
Simplifying:
- \( \frac{2.5}{10} = 0.25 \)
- \( \frac{12}{48} = \frac{1}{4} = 0.25 \)

The two ratios are equal, so \( 2.5/10 = 12/48 \) is a proportion.

### For \( 2.52/2 = 12/24 \)
Simplifying:
- \( \frac{2.52}{2} = 1.26 \)
- \( \frac{12}{24} = 0.5 \)

The two ratios are not equal, so \( 2.52/2 \neq 12/24 \), hence this is not a proportion.

### Conclusion
The only correct proportion is \( \frac{2.5}{10} = \frac{12}{48} \), so the answer is:

**2.5/10=12/48**