Interpret 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 is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, expressed as y = kx.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if 30 oz of cereal costs $3.59, the unit rate is $3.59 ÷ 30.

Front

What is the unit rate of 80 miles in 2 hours?

Back

The unit rate is 40 miles per hour (80 miles ÷ 2 hours).

Front

If a box of cereal costs $3.59 for 30 oz, what is the cost per ounce?

Back

The cost per ounce is 12 cents (3.59 ÷ 30 = 0.1197, rounded to 12 cents).

Front

What does it mean if two quantities are not proportional?

Back

If two quantities are not proportional, it means that the ratio between them is not constant.

Front

How can you determine if a graph represents a proportional relationship?

Back

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

Front

What is the formula for finding the constant of proportionality?

Back

The formula is k = y/x, where y is the dependent variable and x is the independent variable.

Front

If k = 6, what does this mean in a proportional relationship?

Back

It means that for every unit increase in x, y increases by 6 units.

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.