Determine if 2.2510=?940

Question

, 2.510=?9040
, or 2.2512=?9040
is a proportion.(1 point)
Responses

2.2510=940
Start Fraction 2.25 over 10 End Fraction equals Start Fraction 9 over 40 End Fraction

2.2512=9040
Start Fraction 2.25 over 12 End Fraction equals Start Fraction 90 over 40 End Fraction

None of these sets of ratios is a proportion.
None of these sets of ratios is a proportion.

2.510=9040

Answer 1

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

A proportion is an equation that states two ratios are equal, which can be expressed as:

\(\frac{a}{b} = \frac{c}{d}\)

This means that \(a \cdot d = b \cdot c\).

Let's evaluate each option:

1. For \(2.2510 = 940\): \[ \frac{2.25}{10} \quad \text{and} \quad \frac{9}{40} \] Cross-multiplying gives: \[ 2.25 \cdot 40 = 90 \quad \text{and} \quad 10 \cdot 9 = 90 \] Since both products are equal, this is a proportion.

2. For \(2.2512 = 9040\): \[ \frac{2.25}{12} \quad \text{and} \quad \frac{90}{40} \] Cross-multiplying gives: \[ 2.25 \cdot 40 = 90 \quad \text{and} \quad 12 \cdot 90 = 1080 \] Since \(90 \neq 1080\), this is not a proportion.

3. For \(2.510 = 9040\): \[ \frac{2.5}{10} \quad \text{and} \quad \frac{90}{40} \] Cross-multiplying gives: \[ 2.5 \cdot 40 = 100 \quad \text{and} \quad 10 \cdot 90 = 900 \] Since \(100 \neq 900\), this is not a proportion.

Now, we conclude:

• The first ratio \(2.2510 = 940\) is a proportion.
• The second ratio \(2.2512 = 9040\) is not a proportion.
• The third ratio \(2.510 = 9040\) is also not a proportion.

Therefore, the correct response is:

2.2510=940 is a proportion.