Understanding Growth Rates and Intercepts

The video tutorial covers representing linear non-proportional relationships using tables, graphs, and equations. It includes real-world examples like calculating bowling costs and Francisco's earnings after transportation. The tutorial distinguishes between proportional and non-proportional relationships, using a theme park ticket cost analysis and a Douglas fir tree growth model. It concludes with graphing linear equations and understanding their properties.

What is the cost of renting shoes and playing 3 games at Baxter Bowling Lanes?

• $17

• $14

• $11

• $9

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

• $40

• $52

• $44

• $48

What is the entrance fee for the theme park?

• $10

• $15

• $20

• $25

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

• The cost per ticket changes.

• The ratio of total cost to tickets is not constant.

• The entrance fee is not included.

• The number of tickets is always even.

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

• $1 per ticket

• $2 per ticket

• $4 per ticket

• $3 per ticket

Why does it make sense to connect the points in the Douglas fir tree example?

• The tree's growth rate changes frequently.

• The tree's diameter can only be measured yearly.

• The tree's growth is constant over time.

• The tree grows in discrete steps.

What is the initial diameter of the Douglas fir tree?

• 10 inches

• 14 inches

• 12 inches

• 16 inches

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

• The slope of the line

• The y-intercept

• The x-intercept

• The rate of change

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

• 4/5 inch

• 2/5 inch

• 1/5 inch

• 3/5 inch

What is the y-intercept in the equation y = 2/5x + 10 for the Douglas fir tree?

• 30

• 20

• 10

• 0