Final answer:
To find the value of y when x=12 in a direct variation equation (y = kx), you first need to find the value of k by substituting the given values and then solve for y by substituting the known values.
Step-by-step explanation:
In this problem, we are told that y varies directly as x.
This means that we can write an equation of the form y = kx, where k is a constant.
We are also given that y = 35 when x = 5.
To find the value of y when x = 12, we can substitute the given values into the equation and solve for k.
- 35 = k * 5
- Divide both sides by 5: k = 7
Now that we have the value of k, we can substitute it back into the equation to find the value of y when x = 12.
Therefore, when x = 12, y = 84.