Graphing 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 is constant.

Front

How do you find the unit rate in a proportional relationship?

Back

To find the unit rate, divide the total amount by the number of units. For example, if a job pays $56 for 8 hours, the unit rate is $56 ÷ 8 = $7 per hour.

Front

What does it mean if a table does not represent a proportional relationship?

Back

It means that the ratios of the quantities are not constant, and the relationship does not pass through the origin.

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 a graph shows a straight line through the origin, what can be inferred?

Back

It indicates a proportional relationship between the two variables.

Front

What is the equation of a proportional relationship?

Back

The equation is typically in the form y = kx, where k is the constant of proportionality.

Front

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

Back

If the graph is a straight line that passes through the origin, the relationship is proportional.

Front

What does it mean if a table of values has a constant unit rate?

Back

It means that the relationship between the two quantities is proportional.

Front

How do you write an equation from a proportional relationship?

Back

Identify the constant of proportionality and write the equation in the form y = kx.

Front

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

Back

An example is the cost of apples per pound; if apples cost $2 per pound, the cost is proportional to the weight.