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.