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

Question

Responses

Both are proportions.
Both are proportions.

Neither is a proportion.
Neither is a proportion.

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

2.510=1248

Answer 1

To determine if the statements \(2.510 = 1248\) and \(2.52 = 1224\) are proportions, we need to check if the ratios are equal for each case.

1. For \(2.510 = 1248\):

   • This seems to represent the fraction \(\frac{2.5}{10}\) and the fraction \(\frac{12}{48}\).
   • The fractions can be simplified:
     • \(\frac{2.5}{10} = \frac{25}{100} = 0.25\)
     • \(\frac{12}{48} = \frac{1}{4} = 0.25\)

   Since both fractions simplify to \(0.25\), \(2.510 = 1248\) is indeed a proportion.

2. For \(2.52 = 1224\):

   • This seems to represent the fraction \(\frac{2.5}{2}\) and \(\frac{12}{24}\).
   • The fractions can be simplified:
     • \(\frac{2.5}{2} = 1.25\)
     • \(\frac{12}{24} = \frac{1}{2} = 0.5\)

   Since \(1.25 \neq 0.5\), \(2.52 = 1224\) is not a proportion.

In conclusion:

• The first equation \(2.510 = 1248\) is a proportion.
• The second equation \(2.52 = 1224\) is not a proportion.

Therefore, the answer is: Only the first is a proportion.