Constant of Proportionality Review

Front

What is the constant of proportionality in the equation y = kx?

Back

The constant of proportionality is 'k', which represents the ratio of y to x.

Front

How can you determine if a graph shows a proportional relationship?

Back

A graph shows a proportional relationship if it is a straight line that passes through the origin (0,0).

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.

Front

In the equation y = 14x, what is the constant of proportionality?

Back

14

Front

Which of the following tables shows a proportional relationship? Table A: (1,2), (2,4), (3,6); Table B: (1,3), (2,5), (3,7)

Back

Table A shows a proportional relationship.

Front

What is the constant of proportionality if the table shows (1,3), (2,6), (3,9)?

Back

The constant of proportionality is 3.

Front

If y = 5x, what is the value of y when x = 4?

Back

y = 20.

Front

What is the graphical representation of a proportional relationship?

Back

A straight line through the origin.

Front

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

Back

Divide the y-value by the corresponding x-value for any pair of values.

Front

What is the relationship between the constant of proportionality and the slope of a line in a proportional graph?

Back

The constant of proportionality is equal to the slope of the line.