Determine if 2.510=?1248

Question

or 2.52=?1224
is a proportion.(1 point)
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 the given statements are proportions, we need to check if the fractions are equivalent in each case.

1. For 2.510 = 1248:

   • This can be expressed as: \[ \frac{2.5}{10} \quad \text{and} \quad \frac{12}{48} \]
   • Simplifying \(\frac{12}{48}\): \[ \frac{12}{48} = \frac{1}{4} \]
   • Now, simplifying \(\frac{2.5}{10}\): \[ \frac{2.5}{10} = \frac{25}{100} = \frac{1}{4} \]
   • Since both fractions equal \(\frac{1}{4}\), 2.510 = 1248 is a proportion.

2. For 2.52 = 1224:

   • This can be expressed as: \[ \frac{2.5}{2} \quad \text{and} \quad \frac{12}{24} \]
   • Simplifying \(\frac{12}{24}\): \[ \frac{12}{24} = \frac{1}{2} \]
   • Now, simplifying \(\frac{2.5}{2}\): \[ \frac{2.5}{2} = \frac{25}{20} = \frac{5}{4} \]
   • Since \(\frac{5}{4} \neq \frac{1}{2}\), 2.52 = 1224 is not a proportion.

In conclusion:

• 2.510 = 1248 is a proportion.
• 2.52 = 1224 is not a proportion.

Thus, the response is: Only 2.510 = 1248 is a proportion.