Question

cises 13-14, cold the conto diagram represent linear function! PROBLEMS 15. An internet video streaming company offers a basic and premium monthly streaming subscription package. Fig. ure 12.76 shows the revenue (in dollars per month) of the company as a function of the number, c, of basic subscribers and the number, d, of premium subscribers it has. What is the price of a basic subscription? What is the price of a premium subscription? (b) Revenue as a function of ander (c) Revenue as a function of and Problems 18-30 concern Table 12.11, which gives the number of calories burned per minute for someone roller blading, as a function of the person's weight and speed." 400 300 Table 12.11 4000 200 3000 100 1000 Calories burned per minute Weight 8 mph 9 mph 10 mph 11 mph 120 lbs 3.8 7.4 8.9 140 lbs 5.1 83 99 160 lbs 6.1 7.7 9 108 7.0 8.6 102 200 lbs 7.9 95 12.6 50 100 150 200 180 lbs 18. Does the data in Table 12.11 look approximately lincar? Give a formula for the number of calories burned per minute in terms of the weights, and the speed... Does the formula make sense for all weights or speeds? Figure 12.76 16. The charge, C. in dollars, for access to a company's 4G LTE network is a function of m, the number of months of use, and the total number of gigabytes used: C = f(mt) - 99 + 30m + 10r. (a) Is a linear function? (b) Give units for the coefficients of mand, and inter pret them as charges. (c) Interpret the intercept 99 as a charge. (d) Find S(3.8) and interpret your answer. 17. A manufacturer makes two products out of two raw materials. Lat. 4. be the quantities sold of the two products. PP, their prices, and m., the quantities purchased of the two raw materials. Which of the fol- lowing functions do you expect to be linear, and why? In each case, assume that all variables except the ones mentioned are held fixed. (a) Expenditure on raw materials as a function of and me 19. Who burns more total calories to go 10 miles: A 120 I person going 10 mph or a 180-lb person poing 8 mph? Which of these two people burns more calories per pound for the 10-mile trip? 20. Use Problem 18 to give a formula for P, the number of calories burned per pound in terms of wands, for a person weighing we lbs rollerblading 10 miles at mph From the August 28, 1996, ise of Parade Mapes

#14, #16, #18

Answer 1

classmate Date Page 14. Could the sent a No, the linear the feum mxtc contowe linguero Repeties linéax finition? linear function is in cifferent value of a we get different i in the fasum of but, Here for different value getting same this is constant function 48,1072,14,16 values of y; 4 and that. Х f di of are we value Hence y = 2, 4, 6, 16 The & a ола, e in dollars, for access to a company 4G LTE Network ů of me The number months of luse and t The Total number of used, म 7 jigabyte used C = fimit) 99+ 3om tlot linear function? all IS a the Yes, because because the degree of m and t u and function in the form of flyle are linear in il the Tuo Warisble to buy

classmate Data Page w give units for the coefficient of m and t and intercept them . as changes I month days m— morath 30 tt used. Gigabytes used C= f(mat) Then M= с į a 99+ 300 days + 10 GB 99 + 30 Month + LOGB. If m=o, t=0 99 charges If taus 99+30+ 90 139 dollaus with the increase in format) charges «чеали Intercept_the wintercept 99 as a charge uchen m=o, tro C= f(m, 4 = 99 (6.99 for m=t=o. d) Eind fcq 8) and C= f(8,9) - 99+30x3 + 10 x8 189+80 269 dollaus. ansure intercept your 2+90+8o

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