Proportions Study Guide.A2

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 price per gallon if you paid $28.00 for 8 gallons of gasoline?

Back

To find the price per gallon, divide the total cost by the number of gallons: $28.00 ÷ 8 = $3.50 per gallon.

Front

True or False: The point (3, 180) indicates that you can travel 180 miles in 1 hour.

Back

False. The point (3, 180) means that in 3 hours, you can travel 180 miles.

Front

If Sarah travels 260 miles in 4 hours, how far will she travel in 7 hours at the same speed?

Back

To find the distance, first find the speed: 260 miles ÷ 4 hours = 65 miles/hour. Then, multiply by 7 hours: 65 miles/hour × 7 hours = 455 miles.

Front

What does a proportional graph look like?

Back

A proportional graph 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

How can you tell if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of the corresponding values are constant.

Front

What is the formula for finding a missing value in a proportional relationship?

Back

The formula is: (a/b) = (c/d), where a and b are one pair of proportional values, and c and d are the other.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is when the total cost of items includes a fixed fee, such as a $5 delivery charge.

Front

What does it mean if a graph is non-proportional?

Back

A non-proportional graph does not form a straight line through the origin and indicates that the relationship between the variables is not constant.