The constant of proportionality for the relationship modeled by the equation y = 0.2x is 0.2.
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 ≡ W = kT
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 = 0.2/1 = 0.4/2 = 0.6/3
Constant of proportionality, k = 0.2.
Therefore, the required linear equation that models the proportional relationship is given by;
y = kx
y = 0.2x
Complete Question:
What is the constant of proportionality for the relationship modeled by the equation y=0.2x?