Direct Variation Practice

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 'k' represent in the equation y = kx?

Back

In the equation y = kx, 'k' represents the constant of proportionality, which indicates how much y changes for a unit change in x.

Front

If y = 7/3x, what is the value of y when x = 9?

Back

y = 7/3 * 9 = 21.

Front

If y = 39 when x = 3, what is the constant of proportionality (k)?

Back

k = y/x = 39/3 = 13.

Front

What is the equation of direct variation if y = 26 when x = 2?

Back

y = 13x.

Front

Is the relationship y = 5x + 2 a direct variation?

Back

No, because it includes a constant term (2) that does not vary with x.

Front

If y varies directly with x and y = 20 when x = 4, what is y when x = 10?

Back

y = 50.

Front

What type of graph represents a direct variation?

Back

A direct variation is represented by a straight line that passes through the origin (0,0).

Front

If y = 3x, what is the value of y when x = 0?

Back

y = 0.

Front

In a direct variation, if x is halved, what happens to y?

Back

y is also halved.