Question

2. The numbers Y (t) and M(t) of Yum Brand restaurants (such as KFC) and McDonald's restaurants, respec- tively, both in China, are shown in the table below for various years. Year Number of Restaurants in thousands) Yum Brand McDonald's 0.8 2002 0.5 1.2 0.6 1.8 2004 2006 2008 2010 2012 0.8 1.0 1.2 1.7 Source: Yum Brands Let Y(t) and M(t) be the numbers (in thousands) of Yum Brand restaurants and McDonald's restaurants, respectively, both in China, at t years since 2000. Reasonable models are Y(t) = 0.017t+ 0.1t+ 0.54 M(t) = 0.009+2 -0.01t+0.50 a. Find an equation of the sum function Y + M. b. Find (Y +M)(17). What does it mean in this situation? c. Find an equation of the difference function Y - M. d. Find (Y - M)(17). What does it mean in this situation?

Answer 1

(a) Y(+) = 0,017 t? +0.1+0.54 M() = 0.009 #2_0.1 t fo.so so, C4+MUCH) = 0.026 € +1.04 (b) CY+M) (17) = 0.026 (17)2 + 1.04 = 7.514 +1.04 = 8.554 which means in 2017, there are a total of 8554 restaurants in China. C) (Y-M1) (+) = 0.008 + +0.2 t 10.04 (d) (Y-M) (+7) = 0.008 (17) + 0.2(17) +0.04 = 5.752 which means in 2017, no. of Yum brand restaurants anse 5752 mone than Mc Donald's restaurants in Scanned with Canna,