Understanding Linear Functions and Equations

This video tutorial explains how to calculate the total cost of taking classes at a community college using a linear equation and function. It covers defining variables, writing equations, creating a table of values, and graphing the function. The tutorial highlights the importance of understanding the slope and y-intercept in linear functions and discusses the domain of the function.

What is the registration fee for enrolling in classes at the community college?

• $85

• $50

• $150

• $100

In the linear equation y = mx + b, what does 'b' represent in the context of this problem?

• Cost per credit hour

• Total cost

• Number of credit hours

• Registration fee

What is the linear function that represents the total cost of classes?

• C(x) = 85 + 50x

• C(x) = 50 + x

• C(x) = 85x + 50

• C(x) = 50x + 85

If a student takes 3 credit hours, what is the total cost according to the table of values?

• $305

• $560

• $815

• $255

Which ordered pair represents the cost for 6 credit hours?

• (6, 560)

• (6, 305)

• (6, 815)

• (6, 1070)

What is the y-intercept of the graph of the linear function?

• (50, 0)

• (0, 50)

• (85, 0)

• (0, 85)

How many points are plotted to form the line on the graph?

• 5

• 4

• 3

• 6

What does the slope of the linear function represent in this context?

• Initial cost

• Number of credit hours

• Cost per credit hour

• Total cost

What is the domain of the linear function in this scenario?

• All real numbers

• All nonnegative integers

• All positive real numbers

• All integers

What is the total cost for 12 credit hours?

• $305

• $560

• $1070

• $815