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 constant k represent in direct variation?

Back

The constant k represents the constant of variation, indicating how much y changes for a unit change in x.

Front

If y varies directly with x and y = 10 when x = 5, what is the equation of variation?

Back

y = 2x.

Front

How do you find the constant of variation (k)?

Back

To find k, use the formula k = y/x, where y is the value of the dependent variable and x is the value of the independent variable.

Front

If y = 4 when x = 2, what is the value of y when x = 8?

Back

y = 16.

Front

What is the graphical representation of direct variation?

Back

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

Front

Is the relationship y = 3x + 2 a direct variation?

Back

No, because it does not pass through the origin.

Front

If y varies directly with x and y = 24 when x = 6, what is the value of y when x = 10?

Back

y = 40.

Front

What is the formula to express direct variation?

Back

y = kx.

Front

If Trina earns $187.15 for 19 hours of work, how much does she earn per hour?

Back

$9.85 per hour.