Unit Rates and Conversion Factors

This video tutorial covers the concept of equivalent ratios and unit rates, using various practice problems to illustrate these concepts. The problems include real-world examples such as car travel, salsa recipes, burrito specials, banana pricing, plane speeds, car fuel efficiency, and cereal weight conversion. Each problem demonstrates how to calculate and compare unit rates to determine equivalency and make informed decisions.

What is the main relationship between equivalent ratios and unit rates?

• Equivalent ratios have different unit rates.

• Equivalent ratios have the same unit rates.

• Equivalent ratios are unrelated to unit rates.

• Equivalent ratios always result in whole numbers.

If a car travels 55 miles in one hour, how far will it travel in 1.5 hours?

• 27.5 miles

• 110 miles

• 82.5 miles

• 55 miles

In the salsa recipe, what does the ratio of 8 ounces of tomatoes to 1 ounce of onions represent?

• The unit rate of tomatoes to onions.

• The number of onions needed per batch.

• The total weight of the salsa.

• The number of tomatoes needed per batch.

Which burrito special offers a better price per burrito?

• Both have the same price per burrito

• Neither is a good deal

• 10 burritos for $12

• 6 burritos for $7.50

If the cost per banana is 50 cents, how much would 10 bananas cost?

• $7.50

• $10.00

• $2.50

• $5.00

Which plane is faster based on their unit rates?

• Plane A at 555 miles per hour

• Plane B at 560 miles per hour

• Plane A at 560 miles per hour

• Plane B at 555 miles per hour

How far can a car travel with 15 gallons if it travels 35 miles per gallon?

• 500 miles

• 350 miles

• 450 miles

• 525 miles

How much gas is used to travel 100 miles if the car uses 1/35th of a gallon per mile?

• 2 6/7 gallons

• 1 6/7 gallons

• 2 gallons

• 3 gallons

What is the weight of 600 grams of cereal in pounds if 1 kilogram equals 2.2 pounds?

• 1.32 kilograms

• 1.5 pounds

• 2.2 pounds

• 1.32 pounds

What is the conversion factor from grams to kilograms?

• 1 kilogram = 1000 grams

• 1 gram = 1000 kilograms

• 1 kilogram = 100 grams

• 1 gram = 100 grams