Comparing Functions: Key Concepts and Techniques

The video tutorial covers comparing functions and rates of change in various contexts. It begins with an introduction to comparing functions represented in different ways, followed by exercises that involve ordering cyclists by speed, determining the winner of a hot dog eating contest, comparing bathtub draining rates, ordering cars by speed, and comparing exercises by calorie burn rate. Each section uses practical examples to illustrate the concept of rate of change and how it can be applied to solve real-world problems.

Who will reach $100 first, George or Mark?

• George

• Mark

• Both at the same time

• Cannot be determined

How many weeks does it take for George to reach $110?

• 5 weeks

• 6 weeks

• 7 weeks

• 8 weeks

Which cyclist is the fastest?

• Mrs. Johnson

• Mrs. Me-gi

• Mrs. Garbo

• Mrs. Spiewak

What is Mrs. Johnson's speed in meters per second?

• 0.5 m/s

• 1.5 m/s

• 2 m/s

• 1 m/s

Who wins the hot dog eating contest?

• It's a tie

• Mr. Grayling

• Cannot be determined

• Mr. Rutzen

How many hot dogs does Mr. Rutzen eat per minute?

• 4

• 5

• 3.6

• 3

Which bathtub will empty first?

• Bathtub C

• Bathtub B

• Bathtub A

• All at the same time

What is the draining rate of Bathtub B?

• 1.6 gallons per minute

• 2 gallons per minute

• 1.3 gallons per minute

• 1.5 gallons per minute

Which activity burns the most calories per minute?

• Yoga

• Swimming

• Running

• Cycling

How many calories does cycling burn per minute?

• 68.5 calories

• 10.8 calories

• 13.7 calories

• 6.25 calories