Understanding Paintball Pricing

The video tutorial explains the pricing structure of a paintball court, where entrance costs $5 and paintballs are purchased separately. It defines variables for price and number of balls, calculates the incremental cost per ball, and constructs a price equation. The tutorial also graphs the equation, analyzes the slope, and evaluates statements about the price function, concluding that the relationship is not proportional.

What is the initial cost to enter the paintball court without any paintballs?

• $3

• $10

• $5

• $8

If the price for 5 paintballs is $3, what is the cost per paintball?

• $0.50

• $0.60

• $0.70

• $0.80

What is the equation for the total price as a function of the number of paintballs?

• p = 0.60 + 5b

• p = 0.60b

• p = 5 + 0.60b

• p = 5b + 0.60

What is the slope of the line representing the price function?

• 2/3

• 1/2

• 3/5

• 5/3

Which of the following statements is true about the relationship between price and number of paintballs?

• The relationship is proportional.

• The slope of the graph is 5/3.

• The price increases by $6.60 when the number of balls increases by 11.

• Entrance with 10 balls costs $16.

What is the cost for 10 paintballs?

• $15

• $16

• $11

• $10

If the number of paintballs increases by 5, by how much does the price increase?

• $4

• $5

• $3

• $2

What is the total cost for entrance and 5 paintballs?

• $12

• $10

• $8

• $5

Which of the following is NOT a characteristic of the price function?

• It is linear.

• It has a constant slope.

• It is proportional.

• It starts at $5 when b = 0.

What is the price change when the number of paintballs increases from 0 to 5?

• $2

• $5

• $3

• $4