Write the inverse variation function given that y varies inversely with x, and y = 5 when x = 5.

As y varies inversely with x, we have a function of the form:

y = k / x

We must find the value of k:

For this we substitute y = 5 when x = 5.

We have then:

5 = k / 5

k = 5 * 5

k = 25

Then, the function is:

y = 25 / x

Answer:

the inverse variation function is:

y = 25 / x