Exploring Rates and Unit Rates

This video tutorial by Mr. J covers the basics of rates and unit rates. It explains that rates are ratios comparing quantities with different units, while unit rates have a denominator of one, showing per one unit. The video provides two examples: calculating the unit rate of miles per day and dollars per hour. The tutorial emphasizes the importance of labeling units and demonstrates how to convert rates to unit rates by dividing to achieve a denominator of one.

If a car travels 42 miles by consuming 3 gallons of gasoline, how many miles per gallon does the car travel?

• 14 miles per gallon

• 12 miles per gallon

• 15 miles per gallon

• 18 miles per gallon

Choose the option that accurately defines a unit rate.

• A unit rate is a rate with a denominator of 1 unit.

• A unit rate is a rate with a denominator of 10 units.

A ____ is a ratio that compares two quantities with different units.

Alex can assemble 32 toy cars in 8 hours. How many toy cars can he assemble per hour?

• 3 toy cars per hour

• 4 toy cars per hour

• 5 toy cars per hour

• 6 toy cars per hour