Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value that relates two proportional quantities, often represented as 'k' in the equation y = kx.

Front

Which of the following represents a proportional relationship?

Back

A proportional relationship is represented by tables or graphs where the ratio of the two quantities remains constant.

Front

In a proportional relationship, what is the same number that each value is multiplied by called?

Back

Constant of Proportionality.

Front

If a table has a constant of proportionality of 0.20, what does this mean?

Back

It means that for every unit increase in one quantity, the other quantity increases by 0.20.

Front

What are equivalent ratios?

Back

Two ratios are equivalent if you can multiply each number in the first ratio by the same factor to get the numbers in the second ratio.

Front

How do you find the constant of proportionality from a table?

Back

Divide the values of one quantity by the corresponding values of the other quantity; if the result is the same for all pairs, that value is the constant of proportionality.

Front

What is the formula for a proportional relationship?

Back

The formula is y = kx, where k is the constant of proportionality.

Front

If the constant of proportionality is 3, what is the value of y when x = 4?

Back

y = 3 * 4 = 12.

Front

What does a graph of a proportional relationship look like?

Back

A graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

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

Back

The constant of proportionality is 2/3 or approximately 0.67.