Understanding Linear Relationships in Pricing

The video tutorial explains the linear relationship between the number of shirts sold and the price per shirt in a clothing business. It uses historical data to establish a linear equation, demonstrating how to calculate the slope and y-intercept. The final linear function is derived, showing how it can predict the price based on the number of shirts sold.

What is the relationship between the number of shirts sold and the price per shirt?

• Logarithmic

• Linear

• Exponential

• Quadratic

How many shirts can be sold at a price of $20.00 according to the historical data?

• 3,000

• 500

• 1,000

• 2,000

What are the ordered pairs formed from the given data?

• (1,000, 10) and (3,000, 20)

• (1,000, 20) and (3,000, 10)

• (1,000, 15) and (3,000, 5)

• (1,000, 30) and (3,000, 20)

What is the formula used to calculate the slope of a linear function?

• Sum of X and Y

• Change in Y divided by Change in X

• Product of X and Y

• Change in X divided by Change in Y

What is the calculated slope (m) of the linear function?

• 0.005

• -0.005

• 0.05

• -0.05

Which ordered pair is used to find the y-intercept (b)?

• (2,000, 15)

• (1,000, 20)

• (4,000, 5)

• (3,000, 10)

What is the value of the y-intercept (b) in the linear equation?

• 15

• 25

• 10

• 20

What is the final linear equation derived from the data?

• P(N) = -0.005N + 25

• P(N) = -0.005N - 25

• P(N) = 0.005N - 25

• P(N) = 0.005N + 25

How does the linear equation help the clothing business?

• It predicts the number of shirts that can be produced.

• It determines the price that can be charged based on the number of shirts.

• It calculates the total revenue from shirt sales.

• It estimates the cost of producing shirts.

What is the significance of the slope in the context of this problem?

• It calculates the total cost of shirts.

• It indicates the decrease in price per additional shirt sold.

• It shows the increase in price per additional shirt sold.

• It represents the total number of shirts sold.