Understanding Function Notation and Variables

The video tutorial covers writing equations and function notation from word problems. It begins with identifying dependent and independent variables, followed by writing equations in function form using these variables. The tutorial then demonstrates solving these equations and applying the concepts to a practice problem, emphasizing the use of function notation and calculations.

What are the two unknowns identified in the initial word problem?

• Cost and hours

• Distance and time

• Hours and distance

• Cost and time

In the context of the problem, what does the variable 'H' represent?

• Time

• Cost

• Distance

• Hours

Which variable is considered the dependent variable in the problem?

• Cost

• Hours

• Distance

• Time

What is the independent variable in the babysitter cost problem?

• Distance

• Cost

• Hours

• Time

How is the equation y = mx + b represented in function notation?

• g(x) = mx + b

• f(x) = mx + b

• c(x) = mx + b

• h(x) = mx + b

What does the 'm' in the equation y = mx + b represent?

• Intercept

• Slope

• Dependent variable

• Independent variable

In the babysitter problem, what is the base charge?

• $3.50

• $365

• $36.35

• $32.85

What is the total cost for a 9-hour babysitting job?

• $36.35

• $32.85

• $365

• $328.50

What is the function notation for the babysitter cost problem?

• C(h) = 365h + 3.50

• C(h) = 3.50 + 365h

• C(h) = 365 + 3.50h

• C(h) = 3.50h + 365

What is the slope in the babysitter cost problem?

• $36.35

• $32.85

• $365

• $3.50