Question

Suppose that x and y vary inversely and x = 1 when y=2. Write a function that models the inverse variation. Graph the function and find y when x = 20.

Answer 1

Function: y = 2/x

Graph:

The graph of y = 2/x is a hyperbola whose asymptotes are the x-axis and y-axis.

y when x = 20:

y = 2/20 = 0.1