Constant of Proportionality

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 find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the output value by the input value for any pair of corresponding values.

Front

If Craig earns $37 for 4 hours, what is his hourly rate?

Back

$9.25 per hour.

Front

If Craig earns $64.75 for 7 hours, what is his hourly rate?

Back

$9.25 per hour.

Front

What does a proportional relationship look like on a graph?

Back

A proportional relationship on a graph is represented by a straight line that passes through the origin (0,0).

Front

Which of the following shows a proportional relationship: (1,2), (2,4), (3,6)?

Back

Yes, because each output is double the input, indicating a constant of proportionality of 2.

Front

What is the constant of proportionality for the graph that shows points (2, 40) and (4, 80)?

Back

20, because 40/2 = 20 and 80/4 = 20.

Front

What is the constant of proportionality for the table: (1, 2), (2, 4), (3, 6)?

Back

2, because each output is double the input.

Front

If the constant of proportionality is 8, what is the output when the input is 4?

Back

32, because 8 * 4 = 32.

Front

What is the constant of proportionality if the output is 40 and the input is 1?

Back

40, because 40/1 = 40.