Question: As a marketing manager, you wish to find a function that relates the demand D for men's shirts per month and P the price of

As a marketing manager, you wish to find a function that relates the demand D for men's shirts per month and P the price of one shirt in dollars. Based on the price history, the following data were collected.

Price of One Shirt (P)

Demand (D)

19

49

21

46

22

45

22

42

26

41

28

38

29

33

  1. Determine if the above relation (P, D) defines a function or not.
  2. Using Excel, draw a scatter diagram of data. Using Excel, draw a scatter diagram of data.
  3. Using Excel, find the line of the best fit of the models.
  4. Add this line in the scatter diagram.
  5. Interpret the slope and y-intercept of this equation.
  6. Express this equation as a function D of P and find its domain.
  7. How many shirts per month will be demanded if the price is $27?

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