The marketing manager at Levi-Strauss wishes to find a function that relates the demand D for men’s jeans and p, the price of the jeans.The following data were obtained based on a price history of the jeans.

Price ($/Pair), p ……………..…………………….. Demand (Pairs of Jeans sold per Day), D

20 ……………………………………………………………………………. 60

22 ……………………………………………………………………………. 57

23 …………………………………….………………………………………. 56

23 ……………………………………………………………………………. 53

27 ……………………………………………………………………………. 52

29 ………………………………………..……………………………………. 49

30 …………….………………………….……………………………………. 44

(a) Does the relation defined by the set of ordered pairs (p, D) represent a function?

(b) Draw a scatter diagram of the data.

(c) Using a graphing utility, find the line of best fit that models the relation between price and quantity demanded.

(d) Interpret the slope.

(e) Express the relationship found in part (c) using function notation.

(f) What is the domain of the function?

(g) How many jeans will be demanded if the price is $28 a pair?