Proportional Relationships -- Tables, Equations, and Graphs

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 is constant.

Front

What is the formula for a proportional relationship?

Back

y = kx, where k is the constant of proportionality.

Front

How can you find the constant of proportionality (k)?

Back

k can be found by dividing y by x (k = y/x).

Front

What does the unit rate represent in a proportional relationship?

Back

The unit rate represents the constant of proportionality, showing how much of one quantity corresponds to one unit of another quantity.

Front

If a recipe calls for 2 cups of sugar for every 3 cups of flour, what is the equation representing this relationship?

Back

y = (3/2)x, where y is the cups of flour and x is the cups of sugar.

Front

What does it mean if a table of values is proportional?

Back

A table of values is proportional if the ratios of corresponding values are constant.

Front

How do you determine if a graph represents a proportional relationship?

Back

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

Front

What is the unit rate if 4 apples cost $2?

Back

The unit rate is $0.50 per apple.

Front

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

Back

The constant of proportionality is 5.

Front

What is the relationship between the coordinates (x, y) in a proportional relationship?

Back

In a proportional relationship, y is directly proportional to x, meaning y increases or decreases at a constant rate as x changes.