Proportions ,Tables and Graphs

Front

What is a proportion?

Back

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

Front

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

Back

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

Front

What is the constant of proportionality?

Back

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

Front

If a hiker's height is 5.8ft and her shadow is 7ft, what is the ratio of height to shadow?

Back

The ratio of height to shadow is 5.8:7.

Front

If a cliff casts a shadow of 50ft, how can you find its height using proportions?

Back

Set up a proportion: (hiker's height / hiker's shadow) = (cliff's height / cliff's shadow).

Front

What is the formula to find the height of the cliff in the previous question?

Back

Height of cliff = (Hiker's height / Hiker's shadow) * Cliff's shadow.

Front

What does it mean if a table is not proportional?

Back

If a table is not proportional, the ratios of the values are not constant.

Front

How do you solve for the constant of proportionality from a table?

Back

Divide one value by its corresponding value in the other column.

Front

What is the constant of proportionality if the table shows 90 miles for 2 hours?

Back

The constant of proportionality is 45 miles per hour.

Front

What is a graph?

Back

A graph is a visual representation of data that shows the relationship between two variables.