Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

What is the constant of proportionality?

Back

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

Front

How can you identify the constant of proportionality from a table of values?

Back

To identify the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values; if the ratio is constant, that value is k.

Front

If k = 5, what does this imply about the relationship between x and y?

Back

If k = 5, it implies that for every unit increase in x, y increases by 5 units, following the equation y = 5x.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be written as y = kx, where k is the constant of proportionality.

Front

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

Back

To find the constant of proportionality from a graph, determine the slope of the line, which represents k.

Front

If Justin can type 408 words in 4 minutes, how do you calculate his typing speed per minute?

Back

To calculate his typing speed per minute, divide the total words by the total minutes: 408 words / 4 minutes = 102 words per minute.

Front

What does a negative constant of proportionality indicate?

Back

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

Front

How can you express a proportional relationship in a different form?

Back

A proportional relationship can also be expressed in the form of a ratio, such as y/x = k.

Front

What is the significance of the point (0,0) in a proportional relationship graph?

Back

The point (0,0) signifies that when x is 0, y is also 0, which is a characteristic of proportional relationships.