Final answer:
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.