Understanding Rates of Change and Profit

The video tutorial covers the concept of linear relations, focusing on writing equations and graphing them. It includes examples such as calculating the perimeter of rectangles, analyzing DVD rental costs, determining dance profits, and modeling savings account balances. Each example demonstrates the application of linear equations and graphing techniques, emphasizing the importance of understanding dependent and independent variables. The tutorial concludes with a final example and encourages students to apply these concepts independently.

What is the rate of change in the perimeter when the rectangle number increases by one?

• 1 cm

• 2 cm

• 3 cm

• 4 cm

If the rectangle number is 12, what is the perimeter using the equation p = 2n + 4?

• 32 cm

• 28 cm

• 24 cm

• 36 cm

Why should the points not be connected when graphing the rectangle numbers and perimeters?

• Because the data is continuous

• Because the data is discrete

• Because the graph is non-linear

• Because the points are too close

In the DVD rental example, what is the rate of change in cost per DVD?

• $1.50

• $2.50

• $3.50

• $4.50

What is the dependent variable in the DVD rental cost example?

• Number of DVDs

• Cost

• Store location

• Time

How much profit is made if 60 students attend the dance, given the equation y = 4x - 200?

• $100

• $80

• $60

• $40

What is the initial value in Jeffrey's savings account problem?

• $100

• $110

• $120

• $130

How much money will Jeffrey have after 3 weeks if he withdraws $20 each week?

• $70

• $80

• $100

• $90

At what week will Jeffrey's account balance be $50?

• Week 5

• Week 4

• Week 3

• Week 2

What is the equation used to calculate the profit from the student dance?

• y = 3x - 100

• y = 4x - 200

• y = 5x - 300

• y = 6x - 400