Question

If the relationship between the manipulated variable and the responding variable is an inverse proportion, what will a line graph of this relationship look like?

A. a straight line

B. a curved line

C. a jagged line

D. none of the above

Answer 1

Define
x = the manipulated variable
y = the responding variable.

Because an inverse relationship exists between y and x, therefore
y = k/x
where
k = constant.

A graph of y versus x will be a curve that has a vertical asymptote at x = 0, and a horizontal asymptote at y = 0, as shown below.

Answer: B. a curved line