Proportional Relationships Review

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 quantity by the number of units. For example, if there are 18 orders in 3 days, the unit rate is 18 ÷ 3 = 6 orders per day.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k' in the equation y = kx.

Front

If a recipe calls for 4 tablespoons of butter for every 2 cups of water, what is the ratio of butter to water?

Back

The ratio of butter to water is 4:2, which simplifies to 2:1.

Front

What is the missing value if the table shows 2 hours of work equals $18?

Back

If 2 hours of work equals $18, then 1 hour of work equals $9.

Front

How do you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal. For example, if a/b = c/d, then ad = bc.

Front

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

Back

An example of a proportional relationship is the speed of a car. If a car travels 60 miles in 1 hour, it will travel 120 miles in 2 hours, maintaining a constant speed.

Front

If 5 apples cost $10, what is the cost of 1 apple?

Back

The cost of 1 apple is $10 ÷ 5 = $2.

Front

What does it mean if a graph is a straight line through the origin?

Back

If a graph is a straight line through the origin, it indicates a proportional relationship between the two variables.

Front

How can you represent a proportional relationship using a table?

Back

A proportional relationship can be represented in a table by listing pairs of values that maintain a constant ratio.