Question

An inverse variation includes the point (5,10). Which point would also belong in this inverse variation?

Answer 1

Answer:

An inverse variation is something of the shape:

y = k/x.

Knowing that the point (5, 10) is included in this equation, we can obtain the value of k.

10 = k/5.

10*5 = k

k = 50

Then our inverse variation is:

y = 50/x.

Now we can give any value of x in order to find another point that is included in the variation, for example, if x = 5

y(5) = 50/5 = 10

then the point (5, 10) does also belong to the inverse variation.

if x = 50

y(50) = 50/50 = 1.

then the point (50, 1) does also belong to the inverse variation.