Rates, Ratios and Proportional Relationships

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as miles per hour or cost per item.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is 1, allowing for easy comparison of different rates.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio remains constant.

Front

What is the constant of proportionality?

Back

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

Front

How do you find the constant of variation from a direct variation equation?

Back

In a direct variation equation of the form y = kx, the constant of variation (k) is the coefficient of x.

Front

What does it mean if a graph shows a direct variation?

Back

If a graph shows a direct variation, it means that the line passes through the origin (0,0) and has a constant slope.

Front

How can you determine if a relationship is proportional from a table of values?

Back

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

Front

What is the difference between direct variation and proportional relationships?

Back

Direct variation is a specific type of proportional relationship where the relationship can be expressed as y = kx, while proportional relationships can include additional constants.

Front

If y = 14x, what is the constant of proportionality?

Back

The constant of proportionality is 14.