Question

Determine if 2.2510=?940
, 2.510=?9040
, or 2.2512=?9040
is a proportion.(1 point)
Responses

2.2512=9040
Start Fraction 2.25 over 12 End Fraction equals Start Fraction 90 over 40 End Fraction

2.2510=940
Start Fraction 2.25 over 10 End Fraction equals Start Fraction 9 over 40 End Fraction

None of these sets of ratios is a proportion.
None of these sets of ratios is a proportion.

2.510=9040

Answer 1

To determine if the given pairs of ratios are proportions, we need to check if the cross products are equal for each case.

1. **For \( 2.2510 = 940 \):**
- This can be read as \( \frac{2.25}{10} = \frac{9}{40} \).
- Cross multiply:
\[
2.25 \times 40 = 90
\]
\[
9 \times 10 = 90
\]
- Since both products are equal (90 = 90), **this is a proportion**.

2. **For \( 2.510 = 9040 \):**
- This can be read as \( \frac{2.5}{10} = \frac{90}{40} \).
- Cross multiply:
\[
2.5 \times 40 = 100
\]
\[
90 \times 10 = 900
\]
- Since the products are not equal (100 ≠ 900), **this is not a proportion**.

3. **For \( 2.2512 = 9040 \):**
- This can be read as \( \frac{2.25}{12} = \frac{90}{40} \).
- Cross multiply:
\[
2.25 \times 40 = 90
\]
\[
90 \times 12 = 1080
\]
- Since the products are not equal (90 ≠ 1080), **this is not a proportion**.

In conclusion, the only set of ratios that is a proportion is:

- **\( 2.2510 = 940 \)**, i.e., \( \frac{2.25}{10} = \frac{9}{40} \).