Graphs of 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 quantity is constant.

Front

How can you identify a proportional relationship on a graph?

Back

A graph shows a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality?

Back

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

Front

If y is directly proportional to x, how can you express this relationship mathematically?

Back

This relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

What does the slope of a line in a graph of a proportional relationship represent?

Back

The slope represents the constant of proportionality (k) between the two variables.

Front

If a car travels 60 miles in 1 hour, how far will it travel in 3 hours?

Back

180 miles (since 60 miles/hour * 3 hours = 180 miles).

Front

What is the unit rate in a proportional relationship?

Back

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

Front

If a recipe requires 2 cups of flour for every 3 cups of sugar, what is the constant of proportionality for flour to sugar?

Back

Front

How do you find the cost per item in a proportional relationship?

Back

Divide the total cost by the number of items to find the cost per item.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.