Question

In this graph, the number of containers is plotted along the x-axis and the amount of water in the containers is along the y-axis.

the proportionality constant of the graph (y to x) is

Answer 1

The proportionality constant is the slope of the line.
20/2 = 10

Answer 2

10 liters/containers

Explanation:

The line has a general equation of:

`(y-y_o)=k(x-x_o)`

where k is the proportionality constant and has the following equation

`k=(y_1-y_o)/(x_1-x_o)`

Let's take 2 points (0,0) and (2,20), then the proportionality constant is

`k=(20-0)/(2-0) =10 liters/containers`

The constant relates the average amount of water per container