Question

An inverse variation includes the point (9, 1) and (3, n). Find n.

Answer 1

The value of n in the inverse variation for the points (9, 1) and (3, n) is 3, as determined by the constant product property of inverse variations.

Step-by-step explanation:

To find the value of n for the inverse variation that includes the points (9, 1) and (3, n), we use the property of inverse variation where the product of the x and y values for any two points on the graph is constant. Therefore, if (9, 1) is a point on the inverse variation, the product of its coordinates is 9 * 1 = 9. Using the second point (3, n), we can set up the equation 3 * n = 9.

To find n, simply divide both sides of the equation by 3.

3 * n = 9
n = 9 / 3
n = 3

So, n = 3 for the point (3, n) on the inverse variation graph.