Explanatory Answer:
If x and y vary inversely, it means that their product remains constant. We can express this relationship using the formula:
x * y = k
where k is the constant of variation.
To find k, we can use the initial values of x and y given in the problem. When x = 1 and y = 11, we have:
1 * 11 = k
k = 11
Now we can use the value of k to find x when y = 5.5:
x * y = k
x * 5.5 = 11
Dividing both sides by 5.5, we get:
x = 11/5.5
Simplifying the expression, we get:
x = 2
Therefore, when y = 5.5, x = 2.