Understanding Linear Functions in Profit Calculation

The video tutorial explains a linear function representing a computer manufacturer's profit based on the number of computers sold. It covers the slope, which indicates the profit increase per computer sold, and the vertical intercept, which shows the loss if no computers are sold. The tutorial also includes calculations for specific values of n, such as evaluating P(36) and solving for n when P(n) equals 11,830.

What does the function P(n) represent in the context of the video?

• The total revenue from selling computers

• The number of computers sold

• The cost of manufacturing computers

• The profit made by selling n computers

In the function P(n) = 455n - 11,375, what does the number 455 represent?

• The number of computers sold

• The profit per computer sold

• The cost per computer

• The total profit

How is the slope of the function graphically represented when scaled by 10?

• As 10 over 4,550

• As 455 over 1

• As 4,550 over 10

• As 1 over 455

What does the vertical intercept of the function indicate?

• The cost of manufacturing computers

• The total revenue from selling computers

• The loss when no computers are sold

• The profit when 10 computers are sold

If no computers are sold, what is the company's financial outcome?

• They make a profit of $11,375

• They break even

• They lose $1,375

• They gain $1,375

What is the profit when 36 computers are sold?

• $55

• $5,500

• $1,375

• $11,375

How do you calculate P(36) using the function P(n)?

• Subtract 36 from 11,375 and multiply by 455

• Multiply 36 by 455 and subtract 11,375

• Multiply 36 by 11,375 and add 455

• Add 36 to 455 and subtract 11,375

What is the value of n when P(n) equals 11,830?

• 36

• 51

• 455

• 10

How is the equation 11,830 = 455n - 11,375 solved for n?

• By subtracting 11,375 from both sides and multiplying by 455

• By multiplying both sides by 11,375 and subtracting 455

• By adding 11,375 to both sides and dividing by 455

• By dividing both sides by 11,375 and adding 455

What does the ordered pair (51, 11,830) represent in the context of the function?

• 11,830 computers sold for a profit of $51

• A loss of $11,830 when 51 computers are sold

• A profit of $51 when 11,830 computers are sold

• 51 computers sold for a profit of $11,830