Class Assignment: 12192024 - Proportional Relationships

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as k in the equation y = kx.

Front

If the cost of 4 pounds of grapes is $24.36, what is the constant of proportionality?

Back

The constant of proportionality is $6.09 per pound.

Front

Is the relationship in the table proportional?

Back

No, the relationship is not proportional if the ratios of the quantities are not constant.

Front

What is a Ratio?

Back

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

Front

Which line shows a proportional relationship between x and y?

Back

Line L shows a proportional relationship.

Front

How do you find the constant of proportionality from a table of values?

Back

Divide the output value (y) by the input value (x) for any pair of values; if the result is constant, the relationship is proportional.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio to each other.

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.

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 the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where k is the constant of proportionality.