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

How do you determine if two quantities are proportional?

Back

Two quantities are proportional if they can be expressed as a constant ratio or fraction.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k'.

Front

If you travel 120 miles using 3 gallons of gas, what is the miles per gallon?

Back

40 miles per gallon.

Front

What does it mean if a graph is a straight line through the origin?

Back

It indicates a proportional relationship between the two variables.

Front

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

Back

The constant of proportionality is 5.

Front

How can you find the missing value in a proportional table?

Back

You can set up a proportion equation and solve for the missing value.

Front

If Johnny read 280 pages in 4 hours, how many pages did he read per hour?

Back

70 pages per hour.

Front

What is the formula to find the constant of proportionality?

Back

k = y/x, where y is the dependent variable and x is the independent variable.

Front

If you have a proportional relationship and x = 10, y = 50, what is the constant of proportionality?

Back

k = 50/10 = 5.