Answer:
y = 25·x shows a proportional relationship
a = 5·x + 5 does not show a proportional relationship
m = 105.25·n shows a proportional relationship
Step-by-step explanation:
An equation that shows a proportional relationship is of the form, y = kx
Where;
k = The constant of proportionality = y/x
Therefore, the equation, y = 25·x shows a proportional relationship
The constant of proportionality = k = y/x = 25
Similarly, the equation m = 105.25·n shows a proportional relationship
The constant of proportionality = k = m/n = 105.25
When the equation shows a proportional relationship, the graph of the equation passes through the origin, therefore, the equation of the form, y = m·x + c, where c = the y-intercept > 0, the equation does not show a proportional relationship
The equation a = 5·x + 5, which is of the form, y = m·x + c, with c = 5 > 0, therefore, does not show a proportional relationship.
Therefore;
y = 25·x shows a proportional relationship
m = 105.25·n shows a proportional relationship
a = 5·x + 5 does not show a proportional relationship.
