Answer:
y = 1/5x
Explanation:
quickly enter 0 1 2 3 4 5 for x
see what you get for y
for y = 1/5x you get the SAME number whenever you do y divided by x
x y
0 0
5 1
10 2
15 3
20 4
The equation that represents a proportional relationship with a constant of proportionality equal to 1/5 is:
y = 1/5x
A proportional relationship between two variables x and y can be written as:
y = kx
Where k is the constant of proportionality.
If k = 1/5, then the equation becomes:
y = (1/5)x
Which is the same as:
y = 1/5x
So out of the given options, y = 1/5x is the only equation that represents a proportional relationship with a constant of proportionality equal to 1/5.
The other equations have different constants of proportionality:
- y = x - 1/5 -> k = 1
- y = x + 1/5 -> k = 1
- y = 5x -> k = 5
Therefore, y = 1/5x is the correct equation with a constant of proportionality equal to 1/5.