An equation that represents the proportional relationship in this graph, for y in terms of x is y = 0.75x.
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.
- x represents the x-variable.
- 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 = 0.3/0.4
Constant of proportionality, k = 0.75.
Therefore, the required linear equation that represents the proportional relationship in this graph is given by;
y = kx
y = 0.75x