Exploring Ratios and Unit Rates

This video tutorial covers the concept of rates and unit rates, explaining how to solve problems using these mathematical tools. It begins with an introduction to the topic, followed by practical examples involving cost calculations and distance problems. The video also discusses how to compare quantities using unit rates and emphasizes the importance of unit rates in solving various problems. By the end of the lesson, students will have a clear understanding of how to apply rates and unit rates in different scenarios.

If 4 bottles of fruit juice cost $10, how much would 10 bottles cost?

• $25

• $20

• $35

• $30

What is a rate?

• A comparison of two quantities with the same units

• A comparison of two quantities with different units

• A fraction with a numerator of 1

• A fraction with a denominator of 1

How long will it take a race car to travel 25 kilometers if it travels at a rate of 10 kilometers in 3 minutes?

• 6.5 minutes

• 8 minutes

• 5 minutes

• 7.5 minutes

If a car travels 10 kilometers in 3 minutes, how long will it take to travel 60 kilometers?

• 22 minutes

• 20 minutes

• 18 minutes

• 15 minutes

What is the unit rate in dollars per pound if a crate of apples weighing 15 pounds costs $12?

• $1.5 per pound

• $2 per pound

• $0.8 per pound

• $1.25 per pound

How many tablespoons of milk are needed for one egg if a recipe uses 2 tablespoons of milk for every 3 eggs?

• 1/2 tablespoon

• 1 tablespoon

• 2/3 tablespoon

• 3/4 tablespoon

What is the unit rate of eggs per tablespoon of milk if a recipe uses 3 eggs for every 2 tablespoons of milk?

• 1.5 eggs

• 2 eggs

• 2.5 eggs

• 3 eggs

How far can a family travel in 8 hours if they bike at a rate of 25 miles in 5 hours?

• 30 miles

• 35 miles

• 45 miles

• 40 miles

If a canoeing club travels 78 miles in 3 days, how far can they travel in 5 days at the same rate?

• 120 miles

• 130 miles

• 140 miles

• 150 miles

What is a unit rate?

• A rate comparing two quantities with different units

• A rate comparing two quantities with the same units

• A rate with a denominator of 1

• A rate with a numerator of 1