Functions and Their Real-World Applications

The video tutorial by Mr. Holcomb covers increasing, decreasing, and constant functions, using graphs to represent data. It includes exercises on matching scenarios to graphs, sketching graphs for real-world situations, analyzing smartphone shipping data, and creating a story from an account balance graph.

What type of function is represented by a linear graph with a positive slope?

• Constant function

• Decreasing function

• Increasing function

• Quadratic function

In the bathtub scenario, which graph represents a constant function?

• Bathtub being filled at 1.7 gallons per minute

• Bathtub being drained

• Bathtub with 2.5 gallons not being filled or drained

• Bathtub being filled at 2.5 gallons per minute

Which scenario describes a decreasing function in the bathtub exercise?

• Bathtub being filled at 1.7 gallons per minute

• Bathtub being drained

• Bathtub with 2.5 gallons not being filled or drained

• Bathtub being filled at 2.5 gallons per minute

What is the cost of delivering a package with the messenger service, regardless of distance?

• $4.50

• $5.00

• $4.95

• $5.50

How does the pressure change for every 10 meters you dive underwater?

• Increases by 14.7 pounds per square inch

• Decreases by 14.7 pounds per square inch

• Increases by 10 pounds per square inch

• Remains constant

What happens to the range of an electric car as the speed increases by 10 miles per hour?

• Increases by 20 miles

• Decreases by 20 miles

• Remains the same

• Increases by 10 miles

During which period did the smartphone shipments remain constant?

• Day 30 to Day 40

• Day 20 to Day 30

• Day 10 to Day 20

• Day 1 to Day 10

What event caused the smartphone shipments to stop temporarily?

• Increased demand

• A defective chip was found

• Holiday season

• Factory workers went on strike

In the account balance story, what could explain the balance remaining constant for the first 6 days?

• Jameson was on vacation

• Jameson received a bonus

• Jameson was sick

• Jameson made a large purchase

What does the increase in Jameson's account balance between day 6 and day 9 represent?

• Jameson withdrew money

• Jameson went on a shopping spree

• Jameson received a paycheck

• Jameson paid off a debt