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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 =

Sagot :

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

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:

  • [tex] \underline{ \boxed{ \orange{\bold{ 12}}}}[/tex]

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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.

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

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

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

Hence the unknown value (x) is 12.

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