Suppose the revenue (in dollars) from the sale of x units of a product is given by 74x² + 81x 2x + 2 R(x) = Find the marginal revenue when 53 units are sold. (Round your answer to the nearest dollar.) $ Interpret your result. When 53 units are sold, the projected revenue from the sale of unit 54 would be $

Suppose a rumor is spreading that the government plans to give each college student $1000. Asssume that 20 people have heard the rumor as of today and that each day the number of people (past and present) who have heard it triples. Let f(t) be the number of people (past and present) who have heard the rumor at t days since today. a. Find an equation of f. b. How many people (past and present) will have heard the rumor 10 days from now? c. How many people (past and present) will have heard the rumor 15 days from now? Has model breakdown occurred? [Hint: Assume that the population is 112 million.] a. Find an equation of f. f(t) = ¹ b. How many people (past and present) will have heard the rumor 10 days from now? people c. How many people (past and present) will have heard the rumor 15 days from now? people Has model breakdown occurred? A. Model breakdown has occurred because the value for f(15) is greater than the population. B. Model breakdown has not occurred because the value for…

The table shows the number of adult softball teams since 1990, where x represents the year since 2000 and y represents the number of teams (in thousands). Make a scatter plot of the data and determine which type of model best fits the data.  Year, x 0 1 2 3 4 Number of teams (in thousands) 163 155 149 143 119       linear     quadratic     exponential     cubic