Graphing Linear Equations Online Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
Determine if 2.2510=?940, 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

2.510=9040
Start Fraction 2.5 over 10 End Fraction equals Start Fraction 90 over 40 End Fraction

None of these sets of ratios is a proportion.

Answer 1

To determine if the given equations represent proportions, we need to check if the cross products are equal for each pair of fractions.

1. For 2.25/10 = 9/40:

   • Cross products: \[ 2.25 \times 40 = 90 \] \[ 10 \times 9 = 90 \]
   • Since \(90 = 90\), this is a proportion.

2. For 2.25/12 = 90/40:

   • Cross products: \[ 2.25 \times 40 = 90 \] \[ 12 \times 90 = 1080 \]
   • Since \(90 \neq 1080\), this is not a proportion.

3. For 2.5/10 = 90/40:

   • Cross products: \[ 2.5 \times 40 = 100 \] \[ 10 \times 90 = 900 \]
   • Since \(100 \neq 900\), this is not a proportion.

Based on the analysis:

• 2.25/10 = 9/40 is a proportion.
• 2.25/12 = 90/40 is not a proportion.
• 2.5/10 = 90/40 is not a proportion.

Thus, the correct answer is:

2.25/10 = 9/40 is a proportion.