Question

If an equation is a direct variation, then there is always something added or subtracted from the x term

Answer 1

Answer:

The given statement is false.

Step-by-step explanation:

Given statement:

"If an equation is a direct variation, then there is always something added or subtracted from the x term."

Consider 2 variables 'x' and 'y' such that 'y' varies directly with 'x'. Therefore, if two variables have direct variation, then they are related as:

$y=kx$, where, 'k' is a constant of proportionality.

Now, in the above relation, the variable 'x' is multiplied by 'k' but nothing is added or subtracted from the 'x' term.

If something is added to the 'x' term, then the relation is a linear variation and not a direct variation.

Thus, the given statement is FALSE.