Understanding Direct and Partial Variations

What is the condition for a linear equation to be considered a direct variation?

• The slope must be zero.

• The y-intercept must be zero.

• The x-intercept must be zero.

• The equation must have no variables.

In a direct variation, how does the dependent variable behave?

• It remains constant regardless of the independent variable.

• It varies inversely with the independent variable.

• It varies directly with the independent variable.

• It does not depend on the independent variable.

What distinguishes a partial variation from a direct variation?

• The equation has no constant term.

• The x-intercept is not zero.

• The y-intercept is not zero.

• The slope is negative.

In the example given, why is Carol's income considered a partial variation?

• She earns a fixed amount per hour.

• Her income depends only on the hours worked.

• She receives a fixed allowance regardless of hours worked.

• Her income decreases with more hours worked.

What should students do to better understand direct and partial variations?

• Memorize the equations.

• Identify more equations as direct or partial variations.

• Focus only on the slope.

• Ignore the y-intercept.