In an inverse variation, y=1 when x=9. Write an inverse variation equation that shows the relationship between x and y. Write the equation using a decimal or an integer.__
Q. In an inverse variation, y=1 when x=9. Write an inverse variation equation that shows the relationship between x and y. Write the equation using a decimal or an integer.__
Understand Inverse Variation: Understand the concept of 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=xk, 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=1 when x=9. We can substitute these values into the inverse variation equation to find k.1=9k
Solve for k: Solve for the constant of variation, k. To find k, we multiply both sides of the equation by 9. 1×9=9k×9k=9
Write Inverse Variation Equation: Write the inverse variation equation using the found constant of variation.Now that we have found k to be 9, we can write the inverse variation equation as:y=x9
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