In an inverse variation, y = 4 when x = 8 . Write an inverse variation equation that shows the relationship between x and y. Write the equation using a decimal or an integer. _____

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In an inverse variation, y = 4 when x = 8 . Write an inverse variation equation that shows the relationship between x and y.   Write the equation using a decimal or an integer.  _____

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Identify Inverse Variation Equation: Identify the equation that represents inverse variation. In an inverse variation, the product of the two variables is constant. This means that as one variable increases, the other decreases proportionally. The general form of an inverse variation is: $$ y = \frac{k}{x} $$ where $ k $ is the constant of variation.Find Constant of Variation: Use the given values to find the constant of variation. We are given that $ y = 4 $ when $ x = 8 $. We can substitute these values into the inverse variation equation to find $ k $. $$ 4 = \frac{k}{8} $$ Now, solve for $ k $ by multiplying both sides by 8. $$ k = 4 \times 8 $$ $$ k = 32 $$Write Inverse Variation Equation: Write the inverse variation equation using the constant of variation. Now that we have found $ k = 32 $, we can write the inverse variation equation as: $$ y = \frac{32}{x} $$ This equation shows the relationship between $ x $ and $ y $ for this inverse variation.

In an inverse variation, $y = 4$ when $x = 8$ . Write an inverse variation equation that shows the relationship between $x$ and $y$ . $\newline$ Write the equation using a decimal or an integer. $\newline$ $\_\_$

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In an inverse variation, y=4y = 4y=4 when x=8x = 8x=8. Write an inverse variation equation that shows the relationship between xxx and yyy. \newlineWrite the equation using a decimal or an integer.\newline__\_\___

In an inverse variation, $y = 4$ when $x = 8$ . Write an inverse variation equation that shows the relationship between $x$ and $y$ . $\newline$ Write the equation using a decimal or an integer. $\newline$ $\_\_$