The required function based on the given conditions is y = 13 / x.
What is a function?
A function is defined as an expression or rule that specifies the relationship between two variables or objects, out of which one is dependent and the other is an independent variable. The image of each and every element is unique.
Examining the function which satisfies the given conditions
Given values of x = 52 and y = ¼
Consider a function such that x and y vary inversely with each other,
y = k / x, where k is a constant —-- 1
Putting values of c and y, we get,
¼ = k / 52
52 / 4 = k
k = 13
Put the value of k in equation 1, we get,
y = 13 / x
Hence, the required function is given by, y = 13 / x.
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