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

Question

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

2.510=1248
Start Fraction 2.5 over 10 End Fraction equals Start Fraction 12 over 48 End Fraction

Neither is a proportion.
Neither is a proportion.

Answer 1

To determine if the given statements form proportions, we need to check if the cross products of each fraction are equal.

1. For $\frac{2.5}{10}=\frac{12}{48}$:

   Cross-multiplying gives: $$2.5\times 48\text{and}10\times 12$$ Calculating both: $$2.5\times 48=120$$ $$10\times 12=120$$ Since both products are equal (120 = 120), $\frac{2.5}{10}=\frac{12}{48}$ is a proportion.

2. For $\frac{2.5}{2}=\frac{12}{24}$:

   Cross-multiplying gives: $$2.5\times 24\text{and}2\times 12$$ Calculating both: $$2.5\times 24=60$$ $$2\times 12=24$$ Since the products are not equal (60 ≠ 24), $\frac{2.5}{2}\ne \frac{12}{24}$, so this is not a proportion.

In conclusion, only the first statement is a proportion. So the answer is:

Only the first statement is a proportion.