Final answer:
The interpretation of the constant of proportionality as 1000 in the equation y = 1000 signifies that y is directly proportional to x with a constant multiplier of 1000. As x increases, y increases by 1000 times the amount of x.
Step-by-step explanation:
The constant of proportionality in the equation y = 1000 tells us that for every unit increase in x, the variable y increases by 1000. This relationship is described as directly proportional, meaning as x increases, y increases by the same multiple, which in this case is 1000. The equation shows a constant relationship where y is 1000 times the value of x (y = kx where k is the constant of proportionality).
In a graph of directly proportional variables, we would see a straight line that passes through the origin (0,0). The slope of this line would be equal to the constant of proportionality, k, which in this example is 1000. If x were to double, y would also double, maintaining the ratio y/x as constant.