Graphing 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 is constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, expressed as y = kx.

Front

How can you identify a proportional relationship from a table?

Back

A table shows a proportional relationship if the ratios of corresponding values are equal.

Front

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

Back

If a graph passes through the origin (0,0), it indicates a proportional relationship between the variables.

Front

What is the formula for finding the constant of proportionality?

Back

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

Front

If you travel 2 miles in 1 hour, how far will you travel in 5 hours?

Back

10 miles.

Front

If an object weighs 12 pounds on Earth, how much does it weigh on the moon?

Back

2 pounds.

Front

Does this table show a proportion? Yes or No?

Back

No, the table is not a proportion.

Front

What is the constant of proportionality for the table?

Back

k = 75.

Front

Does this graph show a proportion? Yes or No?

Back

No, the graph is not a proportion because it does not pass through the origin (0,0).