Answer:Inverse Variation FormulaAs per the inverse variation formula, if any variable x is inversely proportional to another variable y, then the variables x and y are represented by the formula: xy = k or y=k/x. where k is any constant value.
Inverse variation is a relationship between two variables in which the product of the two variables is a constant. If one variable increases, the other decreases proportionally, so their product is unchanged. The formula for inverse variation can typically be written as:
\[ xy = k \]
or
\[ y = \frac{k}{x} \]
Here, \( x \) and \( y \) are the two variables that are inversely proportional, and \( k \) is the constant of proportionality.
To find the constant \( k \), you simply multiply the initial values of \( x \) and \( y \) that you know are in the relationship.
For example, if you know that when \( x = 2 \), \( y = 3 \), then the constant \( k \) can be found by multiplying these numbers:
\[ k = xy \]
\[ k = 2 \times 3 \]
\[ k = 6 \]
Once \( k \) is found, you can calculate the value of \( y \) for any other value of \( x \) using
\[ y = \frac{k}{x} \]
or the value of \( x \) for any other value of \( y \) using
\[ x = \frac{k}{y} \]
provided that \( x \) and \( y \) remain positive, under the typical conditions of inverse variation.
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Answer:Inverse Variation FormulaAs per the inverse variation formula, if any variable x is inversely proportional to another variable y, then the variables x and y are represented by the formula: xy = k or y=k/x. where k is any constant value.
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Inverse variation is a relationship between two variables in which the product of the two variables is a constant. If one variable increases, the other decreases proportionally, so their product is unchanged. The formula for inverse variation can typically be written as:
\[ xy = k \]
or
\[ y = \frac{k}{x} \]
Here, \( x \) and \( y \) are the two variables that are inversely proportional, and \( k \) is the constant of proportionality.
To find the constant \( k \), you simply multiply the initial values of \( x \) and \( y \) that you know are in the relationship.
For example, if you know that when \( x = 2 \), \( y = 3 \), then the constant \( k \) can be found by multiplying these numbers:
\[ k = xy \]
\[ k = 2 \times 3 \]
\[ k = 6 \]
Once \( k \) is found, you can calculate the value of \( y \) for any other value of \( x \) using
\[ y = \frac{k}{x} \]
or the value of \( x \) for any other value of \( y \) using
\[ x = \frac{k}{y} \]
provided that \( x \) and \( y \) remain positive, under the typical conditions of inverse variation.