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____ [38]
2 years ago
8

Plsssss

Mathematics
2 answers:
steposvetlana [31]2 years ago
8 0
<h2><u>DIRECT VARIATION</u></h2>

» Variables y and x have a proportional relationship, where y = 9 when x = 3. What is the value of x when y = 36? Enter your answer in the box.

<h3>Answer:</h3>
  • \underline{ \boxed{  \orange{\bold{ 12}}}}

— — — — — — — — — —

<h3>Steps-by-step explanation:</h3>

Since variables y and x have a proportional relationship, then the equation is in the form y=kx.

<h3>Given: y = 9 when x = 3.</h3>

First, we need to find the constant of variation (k) by substituting the given to the equation of variation.

  • \tt  y = kx \\ \tt \:  \:  \:  \:  9 = k(3) \\ \tt k=  \frac{9}{3} \\ \tt k=  \blue{3}

The constant of variation (k) is 3. So, find the value of x when y = 36.

  • \:  \:  \:  \: \tt  y = 3x \\ \tt   \: 36  = 3x\\ \tt  \:  \:  \:  \:  \: x =  \frac{36}{3} \\ \tt  \:  \:  \:  \:  \:  \:  \: x=  \underline{ \boxed{ \purple{ \tt{12}}}}

Hence the unknown value (x) is 12.

bixtya [17]2 years ago
3 0
3/9 = x/36
Now cross multiply
108 = 9x
X = 12
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