Linear Functions and Weight Loss

The video tutorial covers constructing linear functions from verbal descriptions, focusing on slope-intercept and standard forms. It provides examples, including Javier's savings plan, Kendra's talent show scheduling, and Andre's weight loss journey. Each example demonstrates how to identify and apply the slope and y-intercept or use standard form when no rate of change is present. The tutorial concludes with a graphing demonstration and encourages viewers to explore related content.

What is the slope-intercept form of a linear equation?

• y = mx + b

• ax + by = c

• y = ax^2 + bx + c

• y = a/x + b

In the slope-intercept form, what does 'm' represent?

• The constant term

• The x-intercept

• The slope or rate of change

• The y-intercept

When should you use the standard form of a linear equation?

• When relating two different items with no rate of change

• When you have a rate of change

• When graphing a quadratic function

• When solving a system of equations

What is the initial value in a linear function?

• The y-intercept

• The slope

• The rate of change

• The x-intercept

What is Javier's weekly savings rate?

• $25

• $45

• $35

• $15

What is the initial amount Javier has saved?

• $120

• $100

• $140

• $160

How is the function for Javier's savings written?

• s(w) = 25w + 140

• s(w) = 140w + 25

• s(w) = 25 + 140w

• s(w) = 140 + 25

What does 'w' represent in Javier's savings function?

• The number of weeks

• The initial savings

• The total amount saved

• The cost of the bicycle

How much does the bicycle cost that Javier wants to buy?

• $450

• $350

• $410

• $400

How many weeks does Javier need to save to buy the bicycle?

• 12 weeks

• 9 weeks

• 11 weeks

• 10 weeks