The video tutorial covers two main problems: a widget company's break-even analysis and a travel problem involving distance, rate, and time. The widget problem involves calculating expenses and income to find the break-even point, while the travel problem uses algebraic equations to determine distance and average speed. Key concepts include understanding independent and dependent variables, setting up equations, and solving for unknowns.

What is the daily fixed expense of the widget company?

• $2000

• $1500

• $2500

• $1000

How much does it cost to make each widget?

• $1.75

• $1.45

• $1.25

• $1.00

What is the selling price of each widget?

• $2.50

• $3.00

• $3.50

• $4.00

What is the purpose of setting up two equations in the widget problem?

• To determine the number of employees

• To calculate the total cost

• To find the profit margin

• To compare expenses and income

In the widget problem, what is considered the independent variable?

• Cost per widget

• Selling price per widget

• Number of widgets

• Daily expense

What is the dependent variable in the widget problem?

• Number of widgets

• Daily expense

• Cost per widget

• Selling price per widget

What is the equation used to find the break-even point in the widget problem?

• $1.45 + 3w = $1500

• $1500 + $1.45w = 3w

• $1500w = $1.45 + 3w

• $1500 + $3w = $1.45w

How many widgets must be sold to break even?

• 950

• 960

• 968

• 975

In the travel problem, what is the average speed when traveling to the parents' home?

• 50 mph

• 55 mph

• 60 mph

• 65 mph

What is the average speed when returning home in the travel problem?

• 55 mph

• 60 mph

• 50 mph

• 45 mph