Roni wants to write an equation to represent a proportional relationship that has a constant of proportionality equal to StartFraction 7 over 25 EndFraction. She writes the equation y = x + StartFraction 7 over 25 EndFraction. What error is Roni making?
any proportional relationship can be modeled by
y = kx
for some constant k.
So here you need y = 7/25 x
Why not just write the fractions, instead of dictating all those obfuscating words?
The error that Roni is making is that the equation she wrote does not accurately represent a proportional relationship with a constant of proportionality equal to 7/25.
In a proportional relationship, the ratio between the dependent variable (y) and the independent variable (x) should always be constant. The general form of a proportional relationship equation is y = kx, where k represents the constant of proportionality.
In Roni's equation, y = x + 7/25, the term "+ 7/25" indicates an additional constant term being added to the proportionality. This means that the relationship is no longer strictly proportional. Hence, the equation she wrote does not correctly represent a proportional relationship with a constant of proportionality equal to 7/25.
To correct the equation, Roni should rewrite it as y = (7/25)x, where (7/25) represents the correct constant of proportionality.