U3 T1 Flashcard Review : 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 determine if two quantities are proportional?

Back

Two quantities are proportional if they can be expressed as a constant ratio or if their graph is a straight line that passes through the origin.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio (k) in a proportional relationship, represented as k = y/x.

Front

If a car travels at a constant speed of 60 miles per hour, how far will it travel in 3 hours?

Back

180 miles (Distance = Speed x Time = 60 miles/hour x 3 hours).

Front

What is the formula for finding the total cost of items at a unit price?

Back

Total Cost = Unit Price x Quantity.

Front

How can you represent a proportional relationship using a table?

Back

A table representing a proportional relationship will show pairs of values (x, y) where the ratio y/x is constant.

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.

Front

If a recipe requires 2 cups of flour for every 3 cups of sugar, what is the constant of proportionality for flour to sugar?

Back

The constant of proportionality is 2/3.

Front

How can you graph a proportional relationship?

Back

To graph a proportional relationship, plot points that represent the pairs of values and draw a straight line through the origin.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.