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If y=12 when x=36, find x when y=7

User Darune
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Final answer:

To find x when y=7 given y=12 when x=36, we determine the variation constant k=1/3 using the given values, and then use it to find that x is 21 when y=7.

Step-by-step explanation:

To find x when y=7 given that y=12 when x=36, we assume there is a direct variation relationship between x and y. To determine the variation constant, we use the given values to solve for k (the variation constant) with the equation y=kx.

First, we find k:

  • 12 = k × 36
  • k = 12/36
  • k = 1/3

Now, using the constant k and the new value of y=7, we solve for x:

  • 7 = (1/3)x
  • x = 7 × 3
  • x = 21

Therefore, when y=7, x is 21.

User Farini
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