Direct Variation

Front

What does 'k' stand for in the direct variation equation?

Back

constant of proportionality

Front

Does the given graph show a direct variation? (Answer: No)

Back

The graph does not pass through the origin, indicating it is not a direct variation.

Front

Does the graph show a direct variation? (Answer: Yes)

Back

The graph passes through the origin, indicating it is a direct variation.

Front

A dishwasher uses 65 gallons of water to wash 5 loads of dishes. What is the equation of variation?

Back

y = 13x

Front

Is the relationship in the table a direct variation? (Answer: Yes)

Back

The table shows a constant ratio between the variables, indicating direct variation.

Front

What is the general form of a direct variation equation?

Back

y = kx, where k is the constant of proportionality.

Front

If y varies directly with x and k = 4, what is the equation?

Back

y = 4x

Front

How can you determine if a set of points represents a direct variation?

Back

Check if the ratio of y to x is constant for all points.

Front

What is the constant of proportionality in the equation y = 2x?

Back

The constant of proportionality is 2.

Front

If y = 3x and x = 5, what is the value of y?

Back

y = 15.