Proportional Relationships in Tables, Graphs, and Equations

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

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

Back

The constant of proportionality (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 amount of one quantity per one unit of another quantity in a proportional relationship.

Front

What is the unit rate if 10 apples cost $5?

Back

The unit rate is $0.50 per apple.

Front

How can you tell if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are constant.

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin, it indicates a proportional relationship between the two variables.

Front

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

Back

The slope of a line in a proportional relationship is equal to the constant of proportionality (k).

Front

If the rate of change is 3 boys for every 1 girl, what is the unit rate?

Back

The unit rate is 3 boys per girl.

Front

What is the relationship between the rate of change and the constant of proportionality?

Back

The rate of change in a proportional relationship is equal to the constant of proportionality.

Front

If a table shows the values (2,4), (3,6), (4,8), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is constant (k = 2).