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

True or False: The constant of proportionality is also the unit rate.

Back

True

Front

What does the constant of proportionality represent in a graph?

Back

It represents the slope of the line, indicating how much y changes for a unit change in x.

Front

If y = 2x, what is the constant of proportionality?

Back

2

Front

What is the unit rate if 80 miles are traveled in 2 hours?

Back

40 miles per hour.

Front

Is the relationship between x and y in the equation y = 3x proportional?

Back

Yes, it is proportional with a constant of proportionality of 3.

Front

What does a proportional relationship look like on a graph?

Back

It appears as a straight line that passes through the origin.

Front

Determine the constant of proportionality for the table: (1, 2), (2, 4), (3, 6).

Back

y = 2x.

Front

If $500 is earned for every 8 hours worked, what is the unit rate?

Back

$62.50 per hour.

Front

True or False: A table of values is proportional if the ratios of y to x are constant.

Back

True.