Question

An inverse variation includes the points (-5,2) and (n,10). Find n.

Answer 1

To find the value of 'n' for an inverse variation that includes the points (-5, 2) and (n, 10), first find the constant of variation with the known point. The constant 'k' is -10, which then allows us to calculate that n = -1.

Step-by-step explanation:

An inverse variation is described by the equation xy = k, where k is the constant of variation. Given two points that lie on the graph of an inverse variation, we can find the constant k and use it to find missing variables. In this case, we have the points (-5, 2) and (n, 10).

First, we use the point (-5, 2) to find the constant k:

• (-5) * 2 = k
• k = -10

Now that we know the value of k, we use the second point (n, 10) to find n:

• n * 10 = -10
• n = -10 / 10
• n = -1

Thus, the value of n that corresponds to a y-value of 10 in this inverse variation is -1.