A sporting goods company keeps track of how much it spends

Last updated: 11/4/2023

A sporting goods company keeps track of how much it spends on advertising each month and of its corresponding monthly profit From this information the list of monthly advertising expenditures and the associated monthly profit shown in the accompanying table was compiled Sporting Goods Profit Generated by Advertising Advertising thousand dollars a 5 7 Enter a number Interpret the result 9 11 13 15 17 19 Profit thousand dollars p 150 190 240 315 390 450 510 525 a Find the function for the cubic model that gives monthly profit in thousand dollars where a is the amount spent on advertising in thousand dollars with data from 5 sa 19 Round all numerical values to three decimal places p a 0 211a 7 361a 48 122a 234 544 X thousand dollars b Find the rate of change of profit as a rate of change when the monthly advertising expenditure is 10 000 Round your answer to three decimal places X thousand per thousand dollars When 10 000 is the monthly spending on advertising profit is increasing by per thousand dollars Use the model to find the rate of change of profit as an approximate change when the monthly advertising expenditure is 10 000 Round your answer to three decimal places thousand per thousand dollars ree 10 re 10