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 can you identify a proportional relationship in a graph?

Back

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

Front

What does it mean if a table is proportional?

Back

A table is proportional if the ratio of the values in one column to the values in another column is constant.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second term is 1, indicating how much of one quantity corresponds to one unit of another quantity.

Front

If $500 is earned for every 8 hours worked, what is the constant of proportionality?

Back

The constant of proportionality is $62.50 per hour.

Front

Write an equation for a proportional relationship where 18 is the constant of proportionality.

Back

y = 18x.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it shows a constant ratio between the x and y values, resulting in a straight line through the origin.

Front

If $300 is earned after working 4 hours, what is the unit rate?

Back

The unit rate is $75 per hour.

Front

How do you determine if a relationship is proportional from a set of data points?

Back

To determine if a relationship is proportional, check if the ratios of y to x are the same for all data points.

Front

What is the significance of the slope in a proportional relationship?

Back

The slope of a line in a proportional relationship represents the constant of proportionality.