Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

Front

How do you identify a proportional relationship from a graph?

Back

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

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

Front

If y = 5x, what is the constant of proportionality?

Back

The constant of proportionality is 5.

Front

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

Back

To find the constant of proportionality from a table, divide the y-value by the corresponding x-value for any pair of values.

Front

What does it mean if a graph is non-proportional?

Back

A non-proportional graph does not pass through the origin and does not have a constant ratio between the x and y values.

Front

If a machine packs 2/3 of a box every 1/2 minute, how many boxes does it pack in one minute?

Back

It packs 4/3 boxes in one minute.

Front

What is the formula to calculate the cost per pound if the cost of 4 pounds of grapes is $24.36?

Back

The cost per pound is calculated as total cost divided by total pounds: $24.36 / 4 = $6.09.

Front

What is the relationship between the slope of a line and proportional relationships?

Back

In a proportional relationship, the slope of the line represents the constant of proportionality.