Conversions & Unit Rate

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, such as miles per hour or cookies per dollar.

Front

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

Back

To find the unit rate, divide the total quantity by the number of units. For example, if you have 36 cookies for $4, the unit rate is 36 cookies ÷ 4 dollars = 9 cookies per dollar.

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 can you determine if a table represents a proportional relationship?

Back

To determine if a table represents a proportional relationship, check if the ratios of corresponding values are equal.

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

How do you write an equation for a proportional relationship?

Back

An equation for a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

Front

If Charles can type 675 words in 9 minutes, how many words can he type in 1 minute?

Back

Charles can type 75 words per minute (675 words ÷ 9 minutes = 75 words/minute).

Front

What is the formula to calculate the unit rate?

Back

The formula to calculate the unit rate is: Unit Rate = Total Quantity ÷ Number of Units.

Front

How do you compare different rates to find the slowest?

Back

To compare different rates, convert them to the same unit (e.g., pages per minute) and then compare the values.

Front

What is the unit rate of 4 pages in 10 minutes?

Back

The unit rate is 0.4 pages per minute (4 pages ÷ 10 minutes).