Constant of proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant value that relates two proportional quantities. It is the ratio of one quantity to another when they are directly proportional.

Front

If y is directly proportional to x, what is the formula to express this relationship?

Back

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

Front

What does it mean if the constant of proportionality is 6?

Back

It means that for every unit increase in x, y increases by 6 units.

Front

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

Back

Divide the value of y by the corresponding value of x for any pair of values. If the ratio is constant, that value is the constant of proportionality.

Front

If the constant of proportionality is 45 mph, what does this imply about the relationship between distance and time?

Back

It implies that for every hour, the distance traveled is 45 miles.

Front

What is the constant of proportionality if y = 5x?

Back

The constant of proportionality is 5.

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

In a graph of a proportional relationship, what does the slope represent?

Back

The slope represents the constant of proportionality.

Front

If the constant of proportionality is 1/6, what does this indicate about the relationship between the two quantities?

Back

It indicates that for every 6 units of x, y increases by 1 unit.

Front

How can you determine if two quantities are proportional?

Back

Two quantities are proportional if their ratios are constant.