Linear Equations and Growth Rates

The video tutorial covers representing linear non-proportional relationships using tables, graphs, and equations. It includes examples like calculating bowling costs, Francisco's earnings, and modeling tree growth. The tutorial explains the difference between proportional and non-proportional relationships and demonstrates graphing linear equations.

What is the cost of renting shoes and playing 3 games of bowling?

• $14

• $11

• $9

• $17

If Francisco works 4 hours, how much does he earn after transportation costs?

• $40

• $44

• $48

• $52

What is the entrance fee for the theme park?

• $25

• $20

• $15

• $10

How much does it cost to buy 4 tickets at the theme park?

• $28

• $32

• $24

• $36

What is the rate of change in the theme park example?

• 4

• 3

• 2

• 1

Why is the relationship between the number of tickets and total cost not proportional?

• The cost per ticket changes.

• The graph does not pass through the origin.

• The equation is not linear.

• The rate of change is not constant.

What is the initial diameter of the Douglas fir tree?

• 12 inches

• 5 inches

• 8 inches

• 10 inches

What is the average growth rate of the Douglas fir tree per year?

• 2/5 inch

• 4/5 inch

• 3/5 inch

• 1/5 inch

In the equation y = mx + b, what does 'b' represent?

• The rate of change

• The slope of the line

• The y-intercept

• The x-intercept

What form is used to represent linear equations?

• y = ax + b

• y = mx + b

• y = bx + c

• y = cx + d