Answer:
If x and y vary directly and y is 6 when x is 8, y is 9 when x is 12.
Explanation:
In the given problem, it is known that when x is 8, y is 6, so the constant of proportionality in this case is k = y/x = 6/8 = 3/4. This means that the relationship between x and y can be written as y = (3/4)x.
To find the value of y when x is 12, we can plug this value into the equation to get y = (3/4) * 12 = 9. Therefore, if x and y vary directly and y is 6 when x is 8, y is 9 when x is 12.