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

If y varies directly with x, and y = 39 when x = 3, what is the constant of variation (k)?

Back

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

Front

How do you find the value of y when x is given in a direct variation?

Back

Use the formula y = kx, where k is the constant of variation.

Front

If y = 14 when x = 6, what is the equation of the direct variation?

Back

y = (14/6)x or y = (7/3)x.

Front

What does it mean if y varies directly with x?

Back

It means that as x increases or decreases, y increases or decreases proportionally.

Front

Which of the following represents a direct variation: y = 2x + 3 or y = 5x?

Back

y = 5x represents a direct variation.

Front

If y = 26 when x = 2, what is the value of y when x = 4 in a direct variation?

Back

y = (26/2) * 4 = 52.

Front

What is the graph of a direct variation?

Back

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

Front

If y = 39 when x = 3, what is y when x = 1?

Back

y = (39/3) * 1 = 13.

Front

In a direct variation, if k = 5, what is y when x = 10?

Back

y = 5 * 10 = 50.