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, \( \frac{2.5}{2} \neq \frac{12}{24} \) is not a proportion.

Thus, only the first equation represents a proportion.

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