Graphing Linear Equations Unit Test

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Question
Which of the following, Option 1 or Option 2, is a proportion?

Option 1: 56=1518


Option 2: 56=2018


(1 point)
Option
is a proportion.

1 answer

To determine which option is a proportion, we need to check if the two ratios in each option are equivalent.

Option 1: \( \frac{56}{15} = \frac{18}{1} \)

Cross-multiplying gives: \( 56 \times 1 = 18 \times 15 \)

Calculating both sides:

  • Left side: \( 56 = 56 \)
  • Right side: \( 18 \times 15 = 270 \)

Since \( 56 \neq 270 \), Option 1 is not a proportion.


Option 2: \( \frac{56}{20} = \frac{18}{1} \)

Cross-multiplying gives: \( 56 \times 1 = 18 \times 20 \)

Calculating both sides:

  • Left side: \( 56 = 56 \)
  • Right side: \( 18 \times 20 = 360 \)

Since \( 56 \neq 360 \), Option 2 is also not a proportion.


Thus, neither option is a proportion, but if you need to select one based on the definitions and values provided:

You could state both options are not proportions. However, if the assignment provides a direct choice without needing to state that neither is correct, please clarify further or check if other defining characteristics were provided in your materials.