Unit Rate Problem Solving Challenge

This video tutorial covers the concept of unit rates and their application in solving real-world problems. It includes three examples: calculating the distance a jet travels at a constant speed, determining the cost of cheese slices, and finding the travel time for a ferry. The tutorial emphasizes the importance of consistent labeling and provides methods to verify solutions using unit rates and cross-multiplication.

What does 'constant speed' imply in the context of the jet's movement?

• The speed increases over time.

• The speed remains the same throughout.

• The speed decreases over time.

• The speed varies over time.

How is a unit rate helpful in solving problems involving ratios?

• It complicates the ratio for detailed analysis.

• It simplifies the ratio to a per unit basis.

• It eliminates the need for calculation.

• It changes the units of measurement.

What is the unit rate of the jet's speed in miles per minute?

• 85 miles/minute

• 7 miles/minute

• 175 miles/minute

• 25 miles/minute

How far does the jet travel in 85 minutes at the calculated unit rate?

• 25 miles

• 85 miles

• 175 miles

• 2125 miles

What is the cost per slice of Swiss cheese during the sale?

• $1.50

• $24.00

• $7.20

• $0.30

How much would five slices of Swiss cheese cost?

• $0.30

• $7.20

• $36.00

• $1.50

How is the cost for five slices of cheese verified?

• By dividing the total cost

• By adding prices

• Estimating the cost visually

• Using cross multiplication and division

What is the unit rate of the ferry boat's speed in miles per hour?

• 2.5 miles/hour

• 23 miles/hour

• 57.5 miles/hour

• 92 miles/hour

How long would it take the ferry boat to travel 92 miles at the calculated speed?

• 1 hour

• Cannot be determined

• 2.5 hours

• 4 hours

What mathematical operation is used to find the unit rate from a given ratio?

• Addition

• Division

• Multiplication

• Subtraction