Based on the graph (y to x) shown below, the proportionality constant is equal to 10.
In Mathematics and Geometry, a proportional relationship is a type of relationship that passes through the origin (0, 0) and produces equivalent ratios as represented by the following mathematical equation:
y = kx
Where:
- y represents the y-variable or amount of water.
- x represents the x-variable or number of containers.
- k is the constant of proportionality.
Next, we would determine the constant of proportionality (k) by using various data points as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = 20/2 = 40/4 = 60/6 = 80/8
Constant of proportionality, k = 10.
Therefore, the required linear equation for this proportional relationship is given by;
y = kx
y = 10x
Complete 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?