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 is constant.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total amount by the number of units. For example, if 60 miles are traveled in 1 hour, the unit rate is 60 miles/1 hour.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, found by dividing one quantity by the other.

Front

What does it mean if a graph is proportional?

Back

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

Front

If Evan bought 5 pounds of bananas for $10, what is the price per pound?

Back

The price per pound is $2 (10 dollars / 5 pounds).

Front

If Christy bought 6 pounds of bananas for $9, what is the price per pound?

Back

The price per pound is $1.50 (9 dollars / 6 pounds).

Front

Who got the better deal: Evan or Christy?

Back

Christy got the better deal because she paid $1.50 per pound compared to Evan's $2 per pound.

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

What does a straight line on a graph indicate about the relationship between two variables?

Back

A straight line indicates a constant rate of change, meaning the two variables are proportional.

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.