Understanding Ratios and Proportions

The video tutorial compares the size of a T-Rex and a Blue Whale using ratios, explaining unit ratios and their significance. It introduces the concept of scale factors and demonstrates their application in real-world scenarios, such as adjusting recipe quantities. An alternative method for solving ratio problems is also explored, providing a comprehensive understanding of ratios, unit ratios, and scale factors.

What is the weight of a T-Rex in kilograms?

• 7,000 kg

• 70,000 kg

• 700 kg

• 70 kg

How much heavier is a blue whale compared to a T-Rex in terms of tons?

• 193 tons

• 207 tons

• 200 tons

• 7 tons

What is the ratio of the weight of a blue whale to a T-Rex?

• 100:1

• 1:100

• 7:200

• 200:7

How do you calculate a unit ratio?

• Divide both sides by the same number

• Divide both sides by the smaller number

• Divide both sides by the larger number

• Multiply both sides by the same number

What is the unit ratio of a blue whale to a T-Rex?

• 1:28.57

• 7:200

• 28.57:1

• 200:7

What does a unit ratio of 28.57:1 indicate?

• A T-Rex is 28.57 times larger than a blue whale

• A blue whale is 3.5% the size of a T-Rex

• A blue whale is 28.57 times larger than a T-Rex

• A T-Rex is 3.5% the size of a blue whale

What is the unit ratio of a T-Rex to a blue whale?

• 7:200

• 1:0.035

• 200:7

• 0.035:1

How do you interpret a unit ratio of 0.035:1?

• A T-Rex is 28.57 times larger than a blue whale

• A blue whale is 3.5% the size of a T-Rex

• A blue whale is 28.57 times larger than a T-Rex

• A T-Rex is 3.5% the size of a blue whale

What is a scale factor?

• A number used to add two quantities

• A number used to divide two quantities

• A number used to multiply a quantity to get another

• A number used to subtract two quantities

In the context of the whale and T-Rex, what is the scale factor?

• 28.57

• 0.035

• 7

• 200