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

Question

Responses

Both are proportions.
Both are proportions.

2.52=1224
Start Fraction 2.5 over 2 End Fraction equals Start Fraction 12 over 24 End Fraction

2.510=1248
Start Fraction 2.5 over 10 End Fraction equals Start Fraction 12 over 48 End Fraction

Neither is a proportion.

Answer 1

To determine if either of the pairs is a proportion, we need to check if the ratios are equal.

A proportion states that two ratios are equal: \(\frac{a}{b} = \frac{c}{d}\).

1. For \(2.510 = 1248\):

   • This can be rewritten as: \(\frac{2.5}{10} = \frac{12}{48}\).

   Now, simplify both fractions:

   • \(\frac{2.5}{10} = \frac{1}{4}\).
   • \(\frac{12}{48} = \frac{1}{4}\).

   Since both simplified values are equal, \(2.510 = 1248\) is a proportion.

2. For \(2.52 = 1224\):

   • This can be rewritten as: \(\frac{2.5}{2} = \frac{12}{24}\).

   Now, simplify both fractions:

   • \(\frac{2.5}{2} = \frac{5}{4}\).
   • \(\frac{12}{24} = \frac{1}{2}\).

   Since \(\frac{5}{4} \neq \frac{1}{2}\), \(2.52 = 1224\) is not a proportion.

Conclusion: Only the first case (\(2.510 = 1248\)) is a proportion. Therefore, the correct response is:

2.510 = 1248 is a proportion.