Equations for 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

What does it mean for a graph to be proportional?

Back

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

Front

How do you write an equation for a proportional relationship?

Back

An equation for a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities.

Front

If the price of 1 item is $20, what is the price of 5 items?

Back

The price of 5 items is $100 (5 items x $20/item).

Front

What is the formula to find the unit rate?

Back

The unit rate can be found by dividing the total quantity by the number of units (e.g., price 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.

Front

How can you determine if two quantities are proportional from a table of values?

Back

Two quantities are proportional if the ratios of corresponding values are equal.

Front

What is the equation of a line that represents a proportional relationship with a slope of 2?

Back

The equation is y = 2x.

Front

If a family spends $252 on 4 concert tickets, how much is each ticket?

Back

Each ticket costs $63 ($252 ÷ 4 tickets).