Solve the problem.A new health food store runs an advertising campaign. Daily sales (in dollars) after x days of advertising are given by ?S(x) = By sketching the graph of this function, answer the following questions. What is the horizontal asymptote of the graph? What does this suggest about future sales? Explain your reasoning. If the advertising campaign costs $3200 per day, at what point should it be discontinued? Why?

Question

What will be an ideal response?

Answer 1

Answers will vary. Possible answer: The horizontal asymptote is  This suggests that eventually daily sales will level off at around $2500. Thus the minimum daily sales to be expected are $2500. The advertising campaign should be discontinued after 7 days because after 7 days the cost of the campaign is higher than the daily sales.