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, defined as k = y/x.

Front

How do you find the constant of proportionality in a proportional relationship?

Back

To find the constant of proportionality, divide the value of one quantity by the value of the other quantity (k = y/x).

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

What does it mean if the constant of proportionality is 0?

Back

If the constant of proportionality is 0, it means that the two quantities are not proportional; one quantity does not change as the other does.

Front

Is the equation y = 5x proportional?

Back

Yes, because it can be expressed in the form y = kx, where k = 5.

Front

What is the constant of proportionality if y = 10 when x = 2?

Back

The constant of proportionality is 5, calculated as k = y/x = 10/2.

Front

If a car travels 60 miles in 1 hour, what is the constant of proportionality for speed?

Back

The constant of proportionality for speed is 60 miles per hour.

Front

What is the relationship between proportionality and linear equations?

Back

Proportional relationships can be represented by linear equations of the form y = kx, where k is the constant of proportionality.

Front

If y = 3x + 4, is this a proportional relationship?

Back

No, because it includes an addition (4), which means it is not proportional.

Front

How can you tell if a table of values represents a proportional relationship?

Back

If the ratio of y to x is constant for all pairs of values, it represents a proportional relationship.