Question

Which of the following equations represent a proportional relationship? Choose all that apply. Ox=2y 43 7/3x=n 4x=y-2. a=1/3b 1/2-1/4

Answer 1

In a proportional relationship, an increase or decrease in one variable leads to a corresponding increase or decrease in another variable. Both variables are related by a value known as the constant of proportionality.

Looking at the first equation,

x = 2y

an increase in x would lead to a corresponding increase in y. the constant of proportionality is 2

Thus, x = 2y represent a proportional relationship

Looking at 1/2 = 1/4, there is a constant factor relating both quantities. 1/2 is double 1/4. This means that the constant of proportionality is 2. Thus,

1/2 = 1/4 is a proportional relationship

Looking at a = 1/3b, the constant of proportionality between a and b is 1/3. Thus,

a = 1/3b = a proportional relationship