Compare 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 identify a proportional relationship from a graph?

Back

A graph represents 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 ratio of one quantity to another in a proportional relationship, often represented as 'k'.

Front

If y = kx, what does 'k' represent?

Back

'k' represents the constant of proportionality in the equation, indicating how much y changes for a unit change in x.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit. It is often used to describe speed, price per item, etc.

Front

How do you calculate the unit rate from a proportional relationship?

Back

To calculate the unit rate, divide the total quantity of the first measurement by the total quantity of the second measurement.

Front

If a car travels 120 miles in 2 hours, what is its speed in miles per hour?

Back

The speed is 60 miles per hour (120 miles ÷ 2 hours = 60 miles/hour).

Front

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

Back

The slope of a line in a proportional relationship represents the constant of proportionality, indicating the rate of change between the two quantities.

Front

If the cost of 5 apples is $10, what is the cost of 1 apple?

Back

The cost of 1 apple is $2 (10 dollars ÷ 5 apples = 2 dollars/apple).

Front

How can you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal.