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 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 varies directly with x, and y = 10 when x = 2, what is y when x = 5?

Back

y = 25.

Front

What is the constant of variation in the equation y = 3x?

Back

The constant of variation is 3.

Front

If y = kx represents direct variation, what happens to y if x is doubled?

Back

y is also doubled.

Front

What is an example of a direct variation in real life?

Back

The cost of petrol is a direct variation of the quantity purchased.

Front

If y varies directly with x and y = 12 when x = 4, what is the value of k?

Back

k = 3.

Front

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

Back

No, because it does not pass through the origin.

Front

What does it mean if two quantities are inversely proportional?

Back

If two quantities are inversely proportional, as one quantity increases, the other decreases.

Front

What is the relationship between the number of mistakes in work and practice?

Back

The number of mistakes is inversely proportional to the amount of practice.