Determine if 2.5/10 =? 12/48 or 2.5 2 =? 12/24 is a proportion.(1 point)

Question

CHOOSE ONE OF THE FOLLOWING BOT AND HURRY THE HECK UP

2.5/10 = 12/48

2.5/2 = 12/24

Neither is a proportion.

Both are proportions.

Answer 1

To determine if either of the equations represents a proportion, we can cross-multiply and compare the values.

1. For the first comparison, $\frac{2.5}{10}$ and $\frac{12}{48}$:

   Cross-multiply: $2.5\times 48$ and $12\times 10$

   • $2.5\times 48=120$
   • $12\times 10=120$

   Since both products are equal, $\frac{2.5}{10}=\frac{12}{48}$ is a proportion.

2. For the second comparison, $\frac{2.5}{2}$ and $\frac{12}{24}$:

   Cross-multiply: $2.5\times 24$ and $12\times 2$

   • $2.5\times 24=60$
   • $12\times 2=24$

   Since the products are not equal, $\frac{2.5}{2}\ne \frac{12}{24}$ is not a proportion.

Thus, only the first equation represents a proportion.

The correct answer is: 2.5/10 = 12/48.