Final answer:
The equation with a constant of proportionality equal to 3 is D: y = 18/6x, because after simplifying k = 18/6, we get k = 3.
Step-by-step explanation:
The question you are asking is related to finding the equation with a constant of proportionality equal to 3. A constant of proportionality is the constant value (k) in a directly proportional relationship, described by the equation y = kx. Let's evaluate each equation given:
- A: y = 8/5x (Here, k = 8/5 which is not equal to 3)
- B: y = 1/3x (Here, k = 1/3 which is not equal to 3)
- C: y = 1/4x (Here, k = 1/4 which is not equal to 3)
- D: y = 18/6x (Here, k = 18/6 which simplifies to 3, thus k = 3)
Therefore, the equation with the constant of proportionality equal to 3 is D: y = 18/6x.