Cost and Function Analysis

The video tutorial covers writing rules for linear functions, starting with a cost function for a fair trip, analyzing table values to determine if they represent a linear function, and writing a function for a graph. It concludes with creating a cost function for a birthday party, demonstrating how to calculate total costs based on variable inputs.

What is the entry fee for the fair?

• $13

• $10

• $3

• $30

How much does each ride cost at the fair?

• $4

• $3

• $2

• $1

What is the function rule for the total cost of rides at the fair?

• t = 10 + 3

• t = 3 + 10r

• t = 10r + 3

• t = 3r + 10

What is the first step in determining if a table represents a linear function?

• Check for constant subtraction

• Check for constant addition

• Check for constant multiplication

• Check for constant change

What is the slope of the line in the table example?

• -1

• 1/2

• -1/2

• 1

What is the function for the table values?

• y = x

• y = -x

• y = 2x

• y = -1/2x

What is the slope of the graph discussed?

• 2/3

• -2/3

• 3/2

• -3/2

Where does the graph cross the y-axis?

• At 10

• At 5

• At 0

• At 7

What is the function rule for the graph?

• y = 2/3x - 7

• y = -2/3x + 7

• y = 3/2x - 7

• y = -3/2x + 7

What is the fixed cost for the birthday party?

• $100

• $15

• $10

• $50