If y 1/x and y = 2 when x = 13, find the equation that connects x and y.

The relation for x and y is given as y = 26/x. The correct answer is option (B).
When two quantities have some dependence in their values they can be said proportional to each other.
It can be of two types such as direct and indirect.
The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.
Given that,
The proportionality relation between x and y as
y ∝ 1/x
And, y = 2 at x = 13.
Suppose k is the constant of proportionality.
Then, y = k/x
Substitute y = 2 and x = 13 in the above equation to obtain,
2 = k/13
=> k = 26
Thus, by substituting the value of k the equation can be written as y = 26/x.
Hence, the equation that relates x and y is y = 26/x.
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