Direct Variation

Front

What is Direct Variation?

Back

Direct Variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed as y = kx, where k is a non-zero constant.

Front

What does it mean if a relationship does not represent direct variation?

Back

If a relationship does not represent direct variation, it means that the ratio of the two variables is not constant and does not follow the form y = kx.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total amount by the number of units. For example, if 3 pounds of apples cost $3.60, the unit rate is $3.60 ÷ 3 = $1.20 per pound.

Front

What is the unit rate for $3.60 for 3 pounds of apples?

Back

$1.20 per pound.

Front

How can you determine if a table represents direct variation?

Back

A table represents direct variation if the ratio of y to x is constant for all pairs of values.

Front

What is the graphical representation of direct variation?

Back

The graph of a direct variation is a straight line that passes through the origin (0,0).

Front

Which of the following graphs represents direct variation?

Back

Graph C represents direct variation.

Front

What is the constant of variation in the equation y = 3x?

Back

The constant of variation is 3.

Front

If y varies directly with x, and y = 10 when x = 2, what is the constant of variation?

Back

The constant of variation is 5, since k = y/x = 10/2.

Front

What is the formula for direct variation?

Back

The formula for direct variation is y = kx, where k is the constant of variation.