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, often expressed as y = kx.

Front

How do you identify the constant of proportionality from a proportional relationship?

Back

To identify the constant of proportionality, divide the dependent variable (y) by the independent variable (x) for any point on the line.

Front

What does it mean if a relationship does not go through the point of origin (0,0)?

Back

If a relationship does not go through the point of origin, it indicates that the relationship is not proportional.

Front

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

Back

It indicates that for every unit increase in x, y increases by 5 units.

Front

How can you determine if a relationship is proportional from a graph?

Back

A relationship is proportional if the graph is a straight line that passes through the origin.

Front

If Ben drinks 1/2 liter of tea every 2/3 of an hour, how much tea does he drink per hour?

Back

Ben drinks 3/4 of a liter per hour.

Front

If Justin can type 408 words in 4 minutes, how many words can he type per minute?

Back

Justin can type 102 words per minute.

Front

What is the formula for finding the constant of proportionality in a table of values?

Back

The constant of proportionality (k) can be found by dividing the output value by the input value (k = y/x).

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio to each other.