Question

Plsssss

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. x =

Answer 1

3/9 = x/36
Now cross multiply
108 = 9x
X = 12

Answer 2

DIRECT VARIATION

» 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.

Answer:

• 
  `\underline{ \boxed{ \orange{\bold{ 12}}}}`

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Steps-by-step explanation:

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

Given: y = 9 when x = 3.

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= (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 = (36)/(3) \\ \tt \: \: \: \: \: \: \: x= \underline{ \boxed{ \purple{ \tt{12}}}}`

Hence the unknown value (x) is 12.