Unit Rates and Ratios in Context

This video tutorial covers the concept of unit rates, particularly when dealing with ratios of fractions. It includes three examples: Sergio's triathlon training, Bronwyn's lawn mowing, and calculating distances on a map. Each example demonstrates how to find and apply unit rates by using reciprocal fractions to simplify calculations. The video concludes with a review of key concepts and practice problems to reinforce learning.

Why is it beneficial to express a ratio of fractions as a unit rate?

• It reduces the need for multiplication.

• It makes the numbers larger and easier to work with.

• It simplifies the calculation by eliminating fractions.

• It allows for the use of more complex fractions.

What was Sergio's target speed during his cycling training?

• 20 miles per hour

• 25 miles per hour

• 30 miles per hour

• 35 miles per hour

How many miles does Sergio need to ride in 1/4 of an hour to achieve a speed of 30 miles per hour?

• 8 miles

• 7 miles

• 8.5 miles

• 7.5 miles

What is the reciprocal of 2/3?

• 3/2

• 2/3

• 1/2

• 3/4

How long does it take Bronwyn to mow the entire lawn of 36,000 square feet?

• 1.5 hours

• 1 hour

• 2 hours

• 2.5 hours

Who mows the lawn faster, Bronwyn or Daniel?

• Daniel

• It cannot be determined

• They mow at the same speed

• Bronwyn

What is the unit rate of Daniel's mowing speed in square feet per hour?

• 25,000 square feet

• 20,000 square feet

• 18,000 square feet

• 15,000 square feet

What is the distance between Omar's house and the school on the map?

• 1.6 miles

• 1.5 miles

• 1.8 miles

• 1 mile

How many miles does 1 inch on the map represent in Example 3?

• 4/5 mile

• 3/5 mile

• 1 mile

• 1.5 miles

What is the actual distance between Paige's house and the mall if the map shows 3.5 centimeters?

• 18 miles

• 19 miles

• 21 miles

• 20 miles