High School

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------------------------------------------------ Which ratio represents a unit rate?

Option 1: 12/2
Option 2: 60/3
Option 3: 4/1
Option 4: 4/3

Answer :

Final answer:

Option 3, which is the ratio 4/1, represents a unit rate because it compares two measurements and has the value 1 in the denominator.

Explanation:

The question asks which ratio represents a unit rate. A unit rate is defined as a comparison of two measurements where one of the quantities is 1. The options are given as ratios and one must determine which of these ratios has 1 as either the numerator or the denominator to be a unit rate.

Looking at the options:

  • Option 1: 12/2, which simplifies to 6/1, is not a unit rate since the second number is not 1.
  • Option 2: 60/3, which simplifies to 20/1, is not a unit rate since the second number is not 1.
  • Option 3: 4/1, which is already given as a unit rate since the second number is 1.
  • Option 4: 4/3, which is a ratio where neither number is 1 and therefore is not a unit rate.

Therefore, the correct choice is Option 3: 4/1, as this represents a unit rate where one of the measurements has a value of 1.