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 the Direct Variation Equation look like?

Back

Y = kx

Front

Which graph represents a direct variation?

Back

A graph that passes through the origin (0,0) and has a straight line.

Front

If y = 39 when x = 3, what is the value of y when x = 2?

Back

26

Front

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

Back

$1.20 per pound

Front

What is the constant of variation in the equation y = kx if k = 5?

Back

The constant of variation is 5.

Front

How do you find the constant of variation (k) in a direct variation problem?

Back

To find k, divide y by x (k = y/x).

Front

If y varies directly with x and y = 10 when x = 2, what is y when x = 5?

Back

y = 25.

Front

What is the graphical representation of a direct variation?

Back

A straight line that passes through the origin.

Front

If y = 4 when x = 1, what is the value of y when x = 3?

Back

y = 12.