Proportions and Constant of Proportionality

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities.

Front

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

Back

Divide the values of one quantity by the corresponding values of the other quantity. If the ratios are equal, that value is the constant of proportionality.

Front

What does a proportional relationship look like on a graph?

Back

A proportional relationship is represented by a straight line that passes through the origin (0,0).

Front

What is a non-proportional relationship?

Back

A non-proportional relationship does not maintain a constant ratio between two quantities.

Front

If you earn $15 every 3 weeks, how much do you earn per week?

Back

You earn $5 per week.

Front

If a table shows values of x and y, how can you determine if they are proportional?

Back

Check if the ratio y/x is constant for all pairs of values.

Front

What is the formula for finding the constant of proportionality?

Back

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

Front

If you travel 150 miles on 5 gallons of gas, what is your miles per gallon?

Back

30 miles per gallon.

Front

What is the relationship between the constant of proportionality and the slope of a line?

Back

In a proportional relationship, the constant of proportionality is equal to the slope of the line.