Ratios & Proportional Relationships

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour).

Front

How do you find the unit rate from a total cost and quantity?

Back

To find the unit rate, divide the total cost by the number of items. For example, if 4 tickets cost $32, the unit rate is $32 ÷ 4 = $8 per ticket.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented in the equation y = kx.

Front

If 1/2 cup of trail mix has 125 calories, how many calories are in 1 cup?

Back

1 cup has 250 calories (125 calories x 2).

Front

How do you determine which option has a lower unit price?

Back

Calculate the unit price for each option by dividing the total cost by the number of items, then compare the results.

Front

What is the formula to find the total amount earned based on hours worked and hourly rate?

Back

Total Amount Earned = Hourly Rate x Number of Hours Worked.

Front

If a recipe calls for a ratio of 2:1 for ingredients, what does this mean?

Back

It means for every 2 parts of one ingredient, there is 1 part of another ingredient.

Front

How do you express a proportional relationship in an equation?

Back

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

Front

What is the difference between a ratio and a proportion?

Back

A ratio compares two quantities, while a proportion states that two ratios are equal.