7.4B Unit Rates

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 cost per item.

Front

How do you calculate the unit rate from a ratio?

Back

To find the unit rate, divide the first quantity by the second quantity to express it as a rate per one unit.

Front

If a bakery sells 12 cookies for $8.40, what is the cost per cookie?

Back

The cost per cookie is $0.70, calculated by dividing $8.40 by 12.

Front

What is the formula to find speed?

Back

Speed = Distance ÷ Time.

Front

If a cyclist rides 48 miles in 4.5 hours, what is their average speed?

Back

The average speed is 10.7 miles per hour, calculated by dividing 48 miles by 4.5 hours.

Front

What does it mean if a graph shows a straight line?

Back

A straight line in a graph indicates a constant rate of change, meaning the relationship between the two variables is proportional.

Front

How can you determine if two students read the same fraction of a book in one hour?

Back

Compare their reading rates (fractions of the book read per hour) to see if they are equal.

Front

What is the relationship between unit rates and proportional relationships?

Back

Unit rates are a specific type of proportional relationship where one quantity is compared to one unit of another quantity.

Front

If Heather bought 9.5 spools of crepe paper for $81.70, how do you find the cost per spool?

Back

Divide the total cost ($81.70) by the number of spools (9.5) to find the cost per spool, which is $8.60.

Front

What is a mean speed?

Back

Mean speed is the total distance traveled divided by the total time taken, providing an average speed over the entire journey.