Determine if 2.2510=?940

Question

, 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., \( \frac{2.25}{10} = \frac{9}{40} \).