Determine if 2.510=?1248 or 2.52=?1224 is a proportion.(1 point) Responses 2.52=1224 Start Fraction 2.5 over 2 End Fraction equals Start Fraction 12 over 24 End Fraction Neither is a proportion. Neither is a proportion. 2.510=1248 Start Fraction 2.5 over 10 End Fraction equals Start Fraction 12 over 48 End Fraction Both are proportions.

1 answer

To determine whether the given statements are proportions, we need to check if the ratios are equal.

  1. For 2.510 = 1248:

    • We can express this as a ratio: \[ \frac{2.5}{10} \quad \text{and} \quad \frac{12}{48} \]
    • Simplifying \(\frac{12}{48}\): \[ \frac{12}{48} = \frac{1}{4} \]
    • Simplifying \(\frac{2.5}{10}\): \[ \frac{2.5}{10} = \frac{1}{4} \]
    • Since both ratios are equal (\(\frac{1}{4}\)), we can say that 2.510 = 1248 is a proportion.
  2. For 2.52 = 1224:

    • Express this as a ratio: \[ \frac{2.5}{2} \quad \text{and} \quad \frac{12}{24} \]
    • Simplifying \(\frac{12}{24}\): \[ \frac{12}{24} = \frac{1}{2} \]
    • Simplifying \(\frac{2.5}{2}\): \[ \frac{2.5}{2} = \frac{5}{4} \]
    • Since \(\frac{5}{4} \neq \frac{1}{2}\), we can say that 2.52 = 1224 is not a proportion.

Putting this together:

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

Therefore, the correct response is: Both are proportions. (this statement should be clarified as only the first is a proportion)

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