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 the equation y = kx?

Back

The constant of proportionality (k) is the constant factor that relates the two variables in a direct variation.

Front

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

Back

5

Front

If y = 50 and x = 5, what is the constant of proportionality?

Back

10

Front

Does the equation y = 3x represent direct variation?

Back

Yes

Front

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

Back

No

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

If y = 4 when x = 1, what is y when x = 3 in a direct variation?

Back

12

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

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

Back

50