Answer:
To find the value of y when x is 6, we can use the concept of direct proportionality and the given information.
Given:
y = 63 when x = 9
We can set up a proportion using the direct proportionality relationship:
y/x = k
where k is the constant of proportionality.
Substituting the given values:
63/9 = k
Simplifying:
7 = k
Now we can use the value of k to find y when x is 6:
y/6 = 7
To isolate y, we can cross multiply:
y = 6 * 7
Calculating:
y = 42
Therefore, when x is 6, y is 42.