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2 years ago

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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