Modeling Linear Relationships and Rates of Change

This video tutorial covers module six on linear functions, focusing on modeling linear relationships. It includes examples like internet access plans and MP3 downloads to illustrate concepts such as rate of change, usage rate, and constructing linear functions. The tutorial also compares different rate plans and calculates concert payments using linear functions. The lesson concludes with a summary of key concepts and instructions for the problem set.

What is the primary focus of the first lesson in module six?

• Analyzing statistical data

• Understanding quadratic functions

• Modeling linear relationships

• Exploring exponential growth

What does the rate of change describe in the context of Lenor's internet access plan?

• The total cost of the session

• The number of minutes connected

• The fixed access fee

• How the total cost changes with respect to time

How much does the charge increase for every 10 minutes of internet use in Lenor's plan?

• 50 cents

• 40 cents

• 20 cents

• 30 cents

In the second company's plan, what is the initial cost?

• 10 cents

• 25 cents

• 15 cents

• 20 cents

Which company's plan has a greater rate of change?

• First company

• Neither company

• Both have the same rate

• Second company

What is the fixed fee for the MP3 download site?

• $1

• $2

• $3

• $4

How much does each song cost to download on the MP3 site?

• 15 cents

• 30 cents

• 20 cents

• 25 cents

In the concert payment scenario, what is the rate of change per ticket sold?

• $3

• $4

• $2

• $1

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

• $120

• $160

• $100

• $140

How is the concert payment scenario different from the MP3 download problem?

• The rate of change is given directly

• The initial value is unknown

• The data points are not provided

• The function is non-linear