Understanding Variables and Equations

The video tutorial covers the final lesson on linear relations, focusing on writing equations and graphing. It includes examples such as calculating the perimeter of rectangles, determining the cost of renting DVDs, solving profit problems for a student council dance, and managing savings with withdrawals. The lesson emphasizes understanding patterns, using equations, and graphing linear relations.

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

• 1 cm

• 4 cm

• 3 cm

• 2 cm

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

• 32 cm

• 36 cm

• 24 cm

• 28 cm

What is the constant in the equation for calculating the perimeter of rectangles?

• 8

• 6

• 4

• 2

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

• The data is random.

• The data is continuous.

• The data is discrete.

• The data is non-linear.

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

• $2.50

• $3.00

• $3.50

• $4.00

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

• Profit

• Number of DVDs

• Cost

• Time

How much does Jeffrey withdraw from his savings account each week?

• $10

• $20

• $30

• $40

What is the initial amount in Jeffrey's savings account?

• $100

• $120

• $130

• $150

At what week will Jeffrey have $50 left in his account?

• Week 5

• Week 3

• Week 4

• Week 2

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

• Profit = 3x - 100

• Profit = 4x - 200

• Profit = 5x - 300

• Profit = 6x - 400