Final answer:
The value of y varies directly with x, then the value of y when x is 12 is approximately 117.882.
Step-by-step explanation:
In this question, we are given that the value of y varies directly with x.
This means that as x increases, y will also increase in a proportional manner.
To find the value of y when x is 12, we can use the concept of direct variation.
We know that when y=334, x=34. So, we can set up the equation:
y = kx
Plug in the given values:
334 = k*34
Solve for k:
k = 334/34 = 9.8235
Now, we can use the value of k to find y when x is 12:
y = 9.8235*12 = 117.882
So, the value of y when x is 12 is approximately 117.882.