Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, expressed as y = kx.

Front

How do you identify the constant of proportionality in a table of values?

Back

To find the constant of proportionality in a table, divide the output value (y) by the input value (x) for any pair of corresponding values. The result should be the same for all pairs.

Front

What is a direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other, expressed as y = kx.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

What does it mean if the constant of proportionality is negative?

Back

A negative constant of proportionality indicates an inverse relationship, meaning as one variable increases, the other decreases.

Front

Write the equation for a direct variation where the constant of proportionality is 5.

Back

y = 5x.

Front

If a recipe requires 2 cups of flour for every 3 cups of sugar, what is the constant of proportionality for flour to sugar?

Back

The constant of proportionality is 2/3.

Front

How can you represent a direct variation graphically?

Back

A direct variation can be represented graphically as a straight line that passes through the origin (0,0).

Front

What is the relationship between the slope of a line and the constant of proportionality?

Back

In a graph of a direct variation, the slope of the line is equal to the constant of proportionality.

Front

If the equation is y = 8x, what happens to y if x is doubled?

Back

If x is doubled, y will also double, demonstrating the constant of proportionality.