Linear Equations and Ticket Sales

The video tutorial explains how to model the relationship between ticket price and sales using a linear equation. It starts by presenting the problem with two scenarios of ticket pricing and sales. The tutorial then guides through forming ordered pairs, calculating the slope, and understanding its significance. Finally, it demonstrates finding the intercept to complete the linear equation, concluding with the correct answer.

What is the initial ticket price per person for which the airline anticipates selling 250 tickets?

• $500

• $250

• $400

• $350

How many tickets does the airline expect to sell at a price of $500 per ticket?

• 150

• 300

• 200

• 250

What is the ordered pair representing the sale of 200 tickets at $500 each?

• (500, 200)

• (200, 500)

• (250, 350)

• (350, 250)

How is the slope of the linear equation calculated?

• Sum of cost and number of tickets

• Change in number of tickets divided by change in cost

• Change in cost divided by change in number of tickets

• Difference between cost and number of tickets

What is the value of the slope in the linear equation?

• -1

• 3

• -3

• 1

What does the slope of -3 represent in this context?

• For every $3 decrease in cost, one more ticket is sold

• For every $3 increase in cost, one more ticket is sold

• For every $3 decrease in cost, one less ticket is sold

• For every $3 increase in cost, one less ticket is sold

What is the next step after finding the slope in forming the linear equation?

• Determine the y-intercept

• Find the maximum number of tickets sold

• Calculate the average cost

• Calculate the total revenue

What is the y-intercept of the linear equation in this scenario?

• $750

• $500

• $350

• $1,100

What is the final linear equation that models the relationship between ticket cost and sales?

• C = 3x + 1,100

• C = 3x - 1,100

• C = -3x + 1,100

• C = -3x - 1,100

Which option correctly represents the relationship between ticket cost and sales?

• C = 2x + 1,000

• C = -3x + 1,100

• C = 4x - 1,200

• C = -2x + 1,200