Linear Relationships and Payment Calculations

The video tutorial explores modeling linear relationships through real-world examples. It begins with an internet access plan, analyzing its cost structure and graphing the data to determine the rate of change. A second company's plan is compared, highlighting differences in pricing. The tutorial then models MP3 download costs and a concert payment model, emphasizing the use of linear functions to represent these scenarios.

What is the main reason Leonora believes the internet access plan is a linear relationship?

• The company offers discounts for longer sessions.

• The usage rate is constant per minute.

• The cost decreases over time.

• The fixed access fee changes daily.

How does Leonora determine the cost for 40, 50, and 60 minutes of internet use?

• By guessing based on previous costs.

• By using a different company's rates.

• By asking the company directly.

• By calculating the constant rate of change.

What is the fixed access fee for the first company's internet plan?

• 10 cents

• 70 cents

• 30 cents

• 40 cents

How does the second company's pricing plan differ from the first?

• It has a lower fixed access fee.

• It charges more per minute.

• It has no fixed access fee.

• It offers a discount for longer sessions.

What is the usage rate per minute for the second company's plan?

• 5 cents

• 4 cents

• 6 cents

• 3 cents

What is the fixed monthly fee for the MP3 download site?

• $1.00

• $4.00

• $3.00

• $2.00

How much does the MP3 site charge per song downloaded?

• 20 cents

• 15 cents

• 10 cents

• 25 cents

What is the rate of change for the band's payment per ticket sold?

• $3.00

• $2.00

• $1.00

• $4.00

What is the flat fee the band receives for playing the concert?

• $100

• $120

• $140

• $160

How is the band's total payment calculated?

• Flat fee plus per ticket sold

• Per ticket sold only

• Flat fee only

• Based on audience size