Question

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

Answer 1

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