Proportional Relationships Quick Check

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Question
Determine if 2.510=?1248 or 2.52=?1224 is a proportion.

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.

Correct answer: 2.52 = 1224 is a proportion.

To determine if 2.510=1248 or 2.52=1224 is a proportion, we need to check if the ratios on both sides of the equation are equivalent.

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

The fractions on both sides of the equation can be simplified:
2.5/10 = 0.25
12/48 = 0.25

Since both fractions simplify to the same value of 0.25, 2.510=1248 is a proportion.

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

The fractions on both sides of the equation can be simplified:
2.5/2 = 1.25
12/24 = 0.5

Since the fractions do not simplify to the same value, 2.52=1224 is not a proportion.

Therefore, the correct answer is:
2.510=1248 is a proportion.