Q:

Decide whether or not each equation represents a proportional relationship a. The remaining length (L) of 120-inch rope after x inches have been cut off: 12O - x = L

Accepted Solution

A:
Answer:see the procedureStep-by-step explanation:we know thatA relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex] In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin we haveThe remaining length (L) of 120-inch rope after x inches have been cut offwe haveL ---> is the dependent variable (output variable)x ---> the independent variable (input variable)The linear equation is[tex]L=120-x[/tex]The equation not represent a proportional relationship, because the line not passes through the origin