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It takes 6 hours for 2 people to build a swing set. Can you use the proportion 2/6=5/h to determine the number of hours it will take 5 people to build the swing set?

Respuesta :

Since the variables are inversely proportional, the proportion [tex]\frac{2}{6} = \frac{5}{h}[/tex] cannot be used to determine the number of hours it will take 5 people to build the swing set.

  • This question is solved by proportions, using a rule of three.
  • It takes 6 hours for 2 people to build a set. How many hours it takes for 5 people?
  • The measures are inversely proportional, since when the number of people working increases, the time to finish the work decreases.

The rule of three is:

2 people - 6 hours

5 people - h hours

Considering that the measures are inversely proportional, for the proportion, one of the fractions has to be inverted, hence, it should be:

[tex]\frac{2}{6} = \frac{h}{5}[/tex]

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

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