Final answer:
In the equation y=14x, the constant of proportionality is 14.
Step-by-step explanation:
In the equation y=14x, the constant of proportionality is 14 (c).
The constant of proportionality represents the ratio between the values of two variables in a proportional relationship. In this equation, for every value of x, the value of y is 14 times larger.
For example, if x = 2, then y = 14 * 2 = 28. If x = 5, then y = 14 * 5 = 70.
In the equation y=14x, we're dealing with a direct variation, where y varies directly as x. The constant of proportionality is the constant factor that y is multiplied by to equal x. In this equation, the constant of proportionality is 14, because for every unit increase in x, y increases by 14 times that amount.