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

If f = 4w, what does the number 4 represent?

Back

The number 4 represents the constant of proportionality between the cups of flour (f) and cups of water (w).

Front

How do 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 is the formula to find the constant of proportionality?

Back

The formula to find the constant of proportionality is k = y/x, where y is the dependent variable and x is the independent variable.

Front

If 8 slices of pizza cost $12, how much does one slice cost?

Back

One slice of pizza costs $1.50.

Front

What is the relationship between the number of pounds of grapes and their cost if 4 pounds cost $24.36?

Back

The constant of proportionality is $6.09 per pound.

Front

What does it mean if two quantities are not proportional?

Back

If two quantities are not proportional, their ratio is not constant, meaning that as one quantity changes, the other does not change in a consistent manner.

Front

How can you represent a proportional relationship with an equation?

Back

A proportional relationship can be represented with the equation y = kx, where k is the constant of proportionality.

Front

What is the significance of the origin in a proportional relationship graph?

Back

The origin (0,0) signifies that when one quantity is zero, the other quantity is also zero, which is a key characteristic of proportional relationships.