Identifying Proportional Relationships (Graphs AND Tables)

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 identify a proportional relationship in a table?

Back

A proportional relationship in a table can be identified if the ratios of corresponding values are the same.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the ratio between two proportional quantities, often denoted as 'k'.

Front

If Jeff runs 6 miles in 4 hours, how many miles will he run in 6 hours?

Back

9 miles

Front

What is the formula to find the constant of proportionality?

Back

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

Front

How can you tell 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 an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is a graph that does not pass through the origin or has a curved line.

Front

In a proportional relationship, if one quantity doubles, what happens to the other quantity?

Back

The other quantity also doubles.

Front

What is the relationship between the slope of a line and proportional relationships?

Back

In a proportional relationship, the slope of the line represents the constant of proportionality.

Front

If a 6-ounce package contains 45 pieces, how many pieces are in a 10-ounce package?

Back

75 pieces