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 the constant of proportionality.

Front

What is the constant of proportionality in direct variation?

Back

The constant of proportionality (k) is the ratio of y to x in a direct variation relationship, represented as k = y/x.

Front

If y = 10 and x = 2, what is the constant of proportionality?

Back

5

Front

If y = 2 and x = 6, what is the constant of proportionality?

Back

1/3

Front

If y = 20 and x = 5, what is the constant of proportionality?

Back

4

Front

Does the equation y = 3x represent direct variation?

Back

Yes

Front

Does the equation y = x^2 represent direct variation?

Back

No

Front

What is the graph of a direct variation relationship?

Back

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

Front

If y varies directly with x and k = 2, what is y when x = 4?

Back

8

Front

If y varies directly with x and y = 15 when x = 3, what is the constant of proportionality?

Back

5