RATIONAL FUNCTION (Average cost) 6' 15' If t' R( ) M + no 111671 ra Lona unc 1071: x = bx + hr] The cost of a new radio is n 80 dollars, and its average cost per year for electricity is m 30 dollars. An average cost function is a function calculating the cost to own a radio for x year/s. 1) Write an average cost function with your assigned n, m values and graph n+mx C(x) = x x = number of years where 1 S x Use the average cost function C(x) to calculate to cost for the 1St year, input your point and label it on the graph. Use the average cost function C(x) to calculate when x value is 10, input your point and label it on the graph. Use the average cost function C(x) to calculate when x value is 30, input your point and label it on the graph. Do you nd the average cost increase or decrease? Find the year when the average cost is $50? Find the vertical and horizontal asymptote of C( ). Plot these asymptotes (use dash line for the line) on your graph. Will the average cost of owning a radio ever get to $0? Explain the meaning of the horizontal asymptote in terms of the used radio cost per year as time increases