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 do you find the cost of one item when given the total cost and quantity?

Back

Divide the total cost by the number of items. For example, if a pizza costs $12 and has 8 slices, the cost per slice is $12 ÷ 8 = $1.50.

Front

What is the constant of proportionality?

Back

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

Front

If 150 people wait 20 minutes, how do you find the waiting time for 240 people?

Back

Set up a proportion: 150/20 = 240/x. Cross-multiply and solve for x to find the waiting time.

Front

What does the graph of a proportional relationship look like?

Back

The graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be written as y = kx, where k is the constant of proportionality.

Front

Is the table of values proportional if the ratios are not constant?

Back

No, if the ratios of the values in the table are not constant, then the relationship is not proportional.

Front

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

Back

A relationship is proportional if the line on the graph is straight and passes through the origin.

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

If y = 8x, what is the constant of proportionality?

Back

The constant of proportionality is 8.