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 $1.25\ne 0.5$, 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.