Question

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Inaninversevariation,y = 2whenx = 3.Writeaninversevariationequationthatshowstherelationshipbetweenxand
y .


Write the equation using a decimal or an integer.

Answer 1

Answer:

Step-by-step explanation:In an inverse variation, the relationship between x and y can be represented by the equation y = k/x, where k is a constant of variation.

Given that y = 2 when x = 3, we can substitute these values into the equation to find the value of k:

2 = k/3

To solve for k, we can multiply both sides of the equation by 3:

2 * 3 = k

6 = k

Now that we have found the value of k, we can write the inverse variation equation as:

y = 6/x

Therefore, the inverse variation equation that shows the relationship between x and y is y = 6/x.