Simpsons, Inc. can sell 500 pairs of boots per week if they charge $100 Sales drop to 480 pairs per week if they charge $108. As

sume the price p is a linear function of the weekly demand for boots, q.
Complete parts a-d below.

(a) Complete the table:

Demand, q Price $
460
480 108
500 100
520
(b) Write a formula for the demand function p = D(q)
Type an expression using q as the variable.
(c) Find the axis intercepts of D(q). Interpret the intercepts by completing the following:
1. The quantity demanded is 0 boots when the price for a pair of boots is $_______.
2. At a price of $0 (free), the demand is _______ pairs of boots.
(d) Interpret the slope of the line by completing the following:
1. Lowering the price by S24 results in _______ more pairs of boots sold per week.
2. Raising the price by $ _______ results in 70 fewer pairs sold per week.