The rate of change at which the water level rises is 11/4 centimeters per minute. So, solving the equation y/8 = 11/4 for y gives a y-value equal to 22.
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 = 11/4
Constant of proportionality, k = 2.75.
Therefore, the required linear equation that represents the proportional relationship is given by;
y = kx
y = 11/4(x)
4y = 11x
y/x = 11/4
When x is 8, the equation to solve for the y-value is given by;
y/8 = 11/4
y = 88/4
y = 22