This relation represents inverse variation. When x increases, y is decreasing. Inverse variation can be represented by the equation y = k/x, where k is a constant.
To find the value of k, we can choose two sets of x and y values to solve for k using the formula. Let's choose x = 5 and y = 2:
2 = k/5
k = 10
Therefore, the equation representing the relation is y = 10/x.
Your teacher will review your response to ensure you receive proper credit for your answer.
Does the relation in the table represent direct variation, inverse variation, or neither? If it is direct or inverse variation, write an equation to represent the relation. Explain your answer.
x 5 10 15 20
y 2 1 StartFraction 2 over 3 EndFraction StartFraction 1 over 2 EndFraction(3 points)
1 answer