If x and y vary inversely. If constant of variation is 5, and y = 15 , then find the value of x.?

Question

Answer

Answer

Inverse Variation:
Inverse variation is a relationship between two variables in which an increase in one variable leads to a decrease in the other variable, and vice versa. Mathematically, if two variables x and y vary inversely, it can be represented as:
y = k/x
where k is the constant of variation.

Given Information:
In this question, it is given that x and y vary inversely with a constant of variation 5. Additionally, the value of y is 15.

Calculating the Value of x:
To find the value of x, we can rearrange the inverse variation equation as follows:
y = k/x
x = k/y

Substituting the given values into the equation, we have:
x = 5/15

Simplifying the expression, we get:
x = 1/3

Therefore, the value of x is 1/3.

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