Constant of Proportionality (tables, graphs, word problems)

Front

What is the constant of proportionality?

Back

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

Front

How do you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are constant.

Front

What is the constant of proportionality in the equation y = 15x?

Back

The constant of proportionality is 15.

Front

If a graph shows a straight line through the origin, what can you say about the relationship?

Back

The relationship is proportional, and the slope of the line represents the constant of proportionality.

Front

What does a constant of proportionality of 2 mean in a word problem?

Back

It means that for every unit of one quantity, there are 2 units of the other quantity.

Front

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

Back

You can find it by calculating the slope of the line, which is the change in y divided by the change in x.

Front

What is the constant of proportionality if 30 apples cost $15?

Back

The constant of proportionality is 0.5 apples per dollar.

Front

If a table shows the relationship between hours worked and money earned, how do you find the constant of proportionality?

Back

Divide the total money earned by the total hours worked.

Front

What is the constant of proportionality in the ratio 10 caramel chews to 1 kid?

Back

The constant of proportionality is 10 caramel chews per kid.

Front

If a proportional relationship is represented by the equation y = 45x, what is the constant of proportionality?

Back

The constant of proportionality is 45.