Understanding Profit Functions

The video tutorial explains how to determine the profit from selling bags of peanuts using a linear function. It first calculates the profit for selling 56 bags and represents it as an ordered pair. Then, it finds the number of bags sold when the profit is $39.8, again representing it as an ordered pair. The tutorial includes graphical representations to aid understanding.

What is the profit function used in the problem?

• P(x) = 0.68x - 16

• P(x) = 16 - 0.68x

• P(x) = 16x - 0.68

• P(x) = 0.68x + 16

What does the variable 'x' represent in the profit function?

• The selling price per bag

• The number of bags sold

• The cost of peanuts

• The total profit

How much profit is made when 56 bags are sold?

• $39.8

• $22.08

• $56

• $16

What is the ordered pair for selling 56 bags?

• (39.8, 56)

• (56, 39.8)

• (22.08, 56)

• (56, 22.08)

What is the significance of the point (56, 22.08) on the graph?

• It indicates the selling price per bag.

• It marks the break-even point.

• It represents the profit when 56 bags are sold.

• It shows the cost of 56 bags.

What equation is used to find the number of bags sold for a $39.8 profit?

• 0.68x = 39.8 - 16

• 39.8 = 0.68x - 16

• 39.8 = 0.68x + 16

• 0.68x = 39.8 + 16

How many bags need to be sold to achieve a profit of $39.8?

• 81

• 68

• 56

• 100

What is the ordered pair for a profit of $39.8?

• (56, 39.8)

• (39.8, 81)

• (39.8, 56)

• (81, 39.8)

What does the point (81, 39.8) represent on the graph?

• The cost of 81 bags.

• The profit when 81 bags are sold.

• The selling price per bag.

• The break-even point.

If the profit is $39.8, how many bags were sold?

• 81

• 68

• 56

• 100