Answer:
Option C is correct
![y = (1)/(5)x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1406v26q1ezf0uq5reremnregf0th4fgl8.png)
Explanation:
The Proportional relationship says that:
then
the equation is of the form :
y = kx .....[1] where k is the constant of Proportionality
As per the statement:
Constant of proportionality (k) =
![(1)/(5)](https://img.qammunity.org/2020/formulas/mathematics/high-school/cc6oz4h7bewzf3fxxxo1s8n7vxixn6llg0.png)
Substitute in [1] we get;
![y = (1)/(5)x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1406v26q1ezf0uq5reremnregf0th4fgl8.png)
Therefore, an equation represents a proportional relationship that has a constant of proportionality equal to 1/5 is
![y = (1)/(5)x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1406v26q1ezf0uq5reremnregf0th4fgl8.png)