The constant of proportionality as shown in the graph below is equal to 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
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 the various data points in table B as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = 5/1 = 10/2 = 15/3
Constant of proportionality, k = 3.
In conclusion, we can logically deduce that the number of quarts of yellow paint increases by 2 per quarts of blue paint.
Complete Question:
A certain shade of green paint is made by mixing blue and yellow paint. The relationship between the number of quarts of blue paint in the mix, x, and the number of quarts of yellow paint, y, is represented by the graph below.
What is the constant of proportionality as shown in the graph?