Question

Student Name: Instructor Math 112 Unit 2 Written Homework 4: Polynomial Functions Math 112 Section:_ Directions Show all work, and answer each question that is asked Explanations should be given in complete sentences. All graphs should be drawn accurately on this sheet, and be fully labeled. Apple iPhone sales (in millions of units) between 2007 and 2015 can be closely modeled by the polynomial function y f(t)--0.4442t3 +7.0873t2 -0.2478t +3.9307, where t is time in years since 2007. Graph this function in an appropriate window, label completely. What is the y-intercept, and what does this tell you in practical terms? What sales does this model predict in the year 2013? (Note that the actual sales were 153.5 million that year.) Do you think this model can be used to predict sales into the future, such as in the year 2022? Why or why not? 1. Page 1714 2. A package can be sent by mail only if the sum of its height and perimeter of the base is not more than 96 inches. Write a function to represent the volume of a box with a square base, with sum of the height and perimeter of the base equal to 96 inches. What dimensions of such a box will give the maximum volume? What is the maximum volume? yd 18 3 IE S1000 is invested at an interest rate, r, compounded annually, the amount in the account after 4 - 1000(1 +r). Graph this function in an appropriate years is given by the polynomial function A(r) how this function is transformed from the graph of f(r) r. At what interest rate need to be invested in order to yield S1200 after 4 years? Show how this answer is would the money represented on the graph of y A(). Verify this result by solving for this value algebraically.

Answer 1

Aptle I Phames Cin milioms unit) batudeen 2067 andl 2015 sell model yeflt)--0.442 t3 +708조2.0.24 78t 1370 0.247t +3.93 07 Gragh on gragh sheet yintr cest3.9307 I Phonox This tell us that in year 20sT the pale oAb .3307 milioaunt n yeor 201-2013 -20076 o0873 (6)-0.278 (6) + 3.9307 = 161.6335 millio Sde Photes in Jeax 2013 61.69 99l ogunit Actual cale u153.5 milins untts So mcdel gve tha ovex estimate in creasing an (o 10.6) than t i deang we estimae s ear 2022 t-is), thi mode! pietha undar estimate , alo in yeor 2023 (tE6) thus model gies tha nagalive uake no thui madal can not can not be wed to bredict rales ints the 4utura