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

A proportion is a statement that two ratios are equal. In mathematical terms, a proportion can be expressed as \(\frac{a}{b} = \frac{c}{d}\) where \(a\), \(b\), \(c\), and \(d\) are numbers.

For both options, to determine if they are proportions, you can rewrite each equation to see if they can be expressed in the form of ratios.

  • Option 1: \(56 = 1518\) This is not a proportion because 56 is not equal to 1518.

  • Option 2: \(56 = 2018\) This is also not a proportion because 56 is not equal to 2018.

Since neither of these options represents a valid proportion, the correct answer would be that neither option is a proportion.

If I had to select one option based on the provided choices, since neither are proportions, that would lead you to assume perhaps one of them could be identified differently. But strictly speaking, neither are proportions. If you meant something else by "is a proportion," please clarify!

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