Question

What is the constant of proportionality for the proportional relationship shown in the graph?

Answer 1

1 hour for every 2 miles hiked

Answer 2

If you will look at the graph , it is a straight line passing through Origin(0,0) , and if you produce the ray or line from both ends it will lie in first and third Quadrant.

So, equation will be of the form

y=k x, where k will be any positive real number.

To find equation of line we need two distinct points.

The two points are , (0,0) and (1,2).

Equation of line passing through two points will be

`\rightarrow (y-y_(1))/(x-x_(1))=(y_(2)-y_(1))/(x_(2)-x_(1))\\\\\rightarrow (y-0)/(x-0)=(2-0)/(1-0)\\\\\rightarrow y=2x\\\\\rightarrow (y)/(x)=2\\\\\rightarrow (x)/(y)=(1)/(2)`

⇒Constant of Proportionality will be either 2, or
`(1)/(2)`.