Final answer:
A proportional relationship with a constant of proportionality of 3.25 can be represented by the equation y = 3.25x, where x is the independent variable and y is the dependent variable.
This depicts a directly proportional relationship where y changes by 3.25 times for every unit change in x.
Step-by-step explanation:
In mathematics, when we have a proportional relationship, it means that two quantities increase or decrease constantly with respect to each other.
If we have a constant of proportionality of 3.25, it indicates that for every unit change in one variable, the other changes by 3.25 times that amount.
This type of relationship is known as directly proportional. To represent this situation with an equation, we would use the formula y = kx, where k is the constant of proportionality and x and y are the variables.
If we let x represent the independent variable, and y represent the dependent variable, the equation that represents this direct proportionality with a constant of 3.25 would be y = 3.25x. In this case, any value of x multiplied by 3.25 will give us the corresponding value of y.
This simple linear equation will produce a graph that is a straight line passing through the origin, indicating a directly proportional relationship between x and y.