Question

Determine if 2.5/10 ?on top of= 12/48 or 2.52 ?on top of= 12/24 is a proportion.(1 point)
Responses

2.52=1224
Start Fraction 2.5 over 2 End Fraction equals Start Fraction 12 over 24 End Fraction

Neither is a proportion.
Neither is a proportion.

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

Both are proportions.

Answer 1

To determine if the fractions form a proportion, we need to check if the cross products are equal.

1. For the first option (2.5/10 = 12/48):
- Cross multiply:
\[
2.5 \times 48 = 120
\]
\[
10 \times 12 = 120
\]
- Since \( 120 = 120 \), this is a valid proportion.

2. For the second option (2.52 = 12/24):
- Cross multiply:
\[
2.5 \times 24 = 60
\]
\[
12 \times 2 = 24
\]
- Since \( 60 \neq 24 \), this is not a valid proportion.

Thus, the conclusion is:

- The first statement (2.5/10 = 12/48) is a proportion.
- The second statement (2.52 = 12/24) is not a proportion.

So, the correct response would be:
"2.5/10 = 12/48 is a proportion. 2.52 = 12/24 is not a proportion."

However, among the provided choices, the best response is:
"2.510=1248
Start Fraction 2.5 over 10 End Fraction equals Start Fraction 12 over 48 End Fraction" is correct that it is a proportion.