An advertising agency has found that when it promotes a new product in a city of 350,000 people, the rate of change R of the number of people who are aware of the product is related to the number of people x who are aware of it and is given by
R = 28,000 - 0.08x
where x ( 0 and R ( 0.
(a) Use the intercepts to determine a window, and then graph the equation for x ( 0.
(b) Is the rate of change increasing or decreasing? Explain why your answer makes sense in the context of the problem.