Suppose that Internet domain names are sold at a price of $P per month for $2 ≤ P ≤ $100. The number of customers C who buy the domain names is a linear function of the price. Assume that 10,000 customers buy a domain name when the price is $2 per month, and 1000 customers buy when the price is $100 per month.
(a) Determine the demand function C(P).
(b) What is the slope of the graph of C(P)? Describe what the slope represents.