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 find the unit rate?

Back

To find the unit rate, divide the total amount by the number of units. For example, if 3 pounds of apples cost $3.60, the unit rate is $3.60 ÷ 3 = $1.20 per pound.

Front

What does it mean if a table represents a proportional relationship?

Back

If a table represents a proportional relationship, it means that the ratios of the corresponding values are constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented by 'k'.

Front

If the cost of 3 pounds of apples is $3.60, what is the cost of 1 pound?

Back

$1.20 per pound.

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 constant of proportionality in the equation y = kx?

Back

In the equation y = kx, 'k' represents the constant of proportionality.

Front

If the time in hours, h, it takes to hike in miles, m, is represented by the equation m = (6/5)h, what is the constant of proportionality?

Back

6/5.

Front

What is the unit rate if the distance in leagues is 9 and the distance in miles is 27?

Back

k = 3 (since 27 ÷ 9 = 3).

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the cost of gasoline, where the cost per gallon remains constant regardless of how many gallons you buy.