Question

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

Answer 1

To determine if the equations given are proportions, we need to check if the ratios in each equation are equivalent.

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

   This can be written as: \[ \frac{2.5}{10} = \frac{12}{48} \]

   Now, simplifying both sides:

   • The left side: \[ \frac{2.5}{10} = 0.25 \]

   • The right side: \[ \frac{12}{48} = 0.25 \]

   Since both sides equal \( 0.25 \), this is a proportion.

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

   This can be written as: \[ \frac{2.5}{2} = \frac{12}{24} \]

   Now, simplifying both sides:

   • The left side: \[ \frac{2.5}{2} = 1.25 \]

   • The right side: \[ \frac{12}{24} = 0.5 \]

   Since \( 1.25 \neq 0.5 \), this is not a proportion.

Based on the evaluations:

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

Thus, the correct response is: Both are proportions. is incorrect; The first is a proportion, and the second is not.

If your options are just "Both are proportions," "Both are not," or a combination thereof, the answer would be that only the first is a proportion.