Question

2. The numbers of countries where Kentucky Fried Chicken (KFC) and Pizza Hut operate are shown in the ollowing table for various years. Number of Countries Pizza Hut 91 Year 3 2013 42014 5 2015 6 2016 72017 KFC 118 120 125 128 92 95 103 131 106 Source: Yum Brands Let K(t) and P(t) be the numbers of countries where KFC and Pizza Hut operate, respectively, both at years since 2010 a. Find equations of K and P b. Find an equation of the sum function K+P. c. Find (K+P)(11). What does it mean in this situation? d. Find an equation of the difference function Y M. e. Find (K- P)(11). What does it mean in this situation?

Answer 1

Sol. 0 Given that Soluation in table Fo KFC KFC YEAR KFC 118 2013 2014 2015 120 125 2016 128 2017 131

and to {2010} Let us affume equation of exponential growth ies, į k(t) = cest } :C= constant and K-> Congt 100w at 1-3 , K(+) = 118. K.3 i 118 = cek?-0 Again, at t=4 ,K(E) = 120 so that . 120 = ce ki so divide & O by E20 then , 118-6 {iansas am min 2 wow is-k: in (102 So,l!,K: 0.017 from {qm O 118 :C:20.019X3 Tic: 112.13 rik (t) = 112.13.20.019)

3 Table for pizza hut Pizza hut Year 2013 92 92 2014 2015 95 2016 2017 106 Let, P(E) : cett at 2:3, P(E)=11 Ti 917 CEOK → at 7:5 , P(t) = 95 Di 95 = cek 707 so that, 3 divide by ☺ (+) - 91/95 = Cesk CSK - e-2X : 91/95 Tik :0.0215

o Put R=0.0215 in Er" o 91. CC 0.0215x3 | 0 - 85 - 32 | rii Plt) : 85.3260-275) by k(t) +P(H) = ? => [112 · 1360.017 t + 85.89 0.02156 G. [KCE) + P(1)] +11 = (12.1820-012 + 85:32 C00215+) x 1 => 1233.480012 + 938.452002157