Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant ratio between two variables that are directly proportional to each other.

Front

How can the constant of proportionality be found?

Back

The constant of proportionality can be found by calculating the unit rate.

Front

What does a proportional relationship look like on a graph?

Back

A proportional relationship on a graph is represented by a straight line that passes through the origin.

Front

If the constant of proportionality is k = 45, what does this imply?

Back

It implies that for every 1 hour, the boat travels 45 miles.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second measurement is 1.

Front

What does it mean if a table shows a constant of proportionality of $9 per hour?

Back

It means that for every hour, the cost increases by $9.

Front

What is the significance of the constant of proportionality in real-world applications?

Back

It helps to understand relationships between quantities, such as speed, cost, and time.

Front

How do you determine if a relationship is proportional from a table?

Back

A relationship is proportional if the ratios of corresponding values are constant.

Front

What is an example of a non-proportional relationship?

Back

A relationship where the ratio changes, such as a flat fee plus a variable cost.

Front

If k = 1/5, what does this indicate about the relationship?

Back

It indicates that for every 1 unit of the first quantity, there are 1/5 units of the second quantity.