NarcissaNyx
Answered

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Hi, can you please help me answer this direct proportion question?
Somehow I keep getting it wrong and so I'd really appreciate some help. Please don't offer joke answers and possibly show me any workings out.
Thank you :)

Hi Can You Please Help Me Answer This Direct Proportion Question Somehow I Keep Getting It Wrong And So Id Really Appreciate Some Help Please Dont Offer Joke An class=

Sagot :

ManpreetCheema

Answer:

X = 100

Step-by-step explanation:

  • In proportion questions, they want you to multiply one of the sides by a variable, (i usually represent it with K) and then change the proportion sign to an equal.
  • This is because proportional means they have a ratio between them, with one side increasing by "k" for each increase in the other side.
  1. Multiply the left by k, so [tex]y = \frac{k}{\sqrt{x} }[/tex]
  2. we know that y= 5, for x = 36, so sub this in the equation
  3. [tex]5 = \frac{k}{\sqrt{36} }[/tex]
  4. simplify[tex]5 = \frac{k}{6 }[/tex]
  5. re-arrange for k, k = 5*6 = 30
  6. now we know k, we can create the real equation, [tex]y = \frac{30}{\sqrt{x} }[/tex]
  7. sub in 3 as y
  8. [tex]3 = \frac{30}{\sqrt{x} }[/tex]
  9. x = 100
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