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

Neither is a proportion.
Neither is a proportion.

2.510=1248

Answer 1

To determine if the given ratios are proportions, we can set them up as fractions and see if they are equal.

1. For the first comparison: \( 2.510 = 1248 \)

   We can write this as: \[ \frac{2.5}{10} \quad \text{and} \quad \frac{12}{48} \]

   Now, simplifying both fractions:

   • \( \frac{2.5}{10} = \frac{25}{100} = \frac{1}{4} \)
   • \( \frac{12}{48} = \frac{1}{4} \)

   Since both simplify to \( \frac{1}{4} \), this is a proportion.

2. For the second comparison: \( 2.52 = 1224 \)

   We can write this as: \[ \frac{2.52}{2} \quad \text{and} \quad \frac{12}{24} \]

   Now, simplifying both fractions:

   • \( \frac{2.52}{2} = 1.26 \)
   • \( \frac{12}{24} = \frac{1}{2} = 0.5 \)

   Since \( \frac{1.26}{1} \neq \frac{0.5}{1} \), this is not a proportion.

Final Answer: Only the first comparison \( 2.510 = 1248 \) is a proportion.

So the best choice from the options is: "2.510=1248."