Question

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Actual and predicted fast-food restaurant sales from 1990 2010 are given in the table. Fast-Food Years Restaurant Sales Since 1990 ($ millions) S 0 69,840 2 82,433 4 96,341 6 112,882 8 133,372 10 159,126 12 191,461 14 231,693 16 281,138 18 341,112 20 412,932 (a) Using averages, estimate S(11). $ Explain what the value of the answer means in the real-world context. This means that 2000 and 2002 both had the same amount of food sales each year. This means that if 2000 and 2002 both had the same amount of food sales each year it would have been this value in each year. This means that the amount of food sales in 2001 is estimated as being in the middle of the food sales from 2000 and 2002. This means that 2001 had the same amount of food sales as 2000 and 2002, which is this value in each year. This means that the difference between the amount of food in 2000 and in 2001 is the same as the difference between the amount of food in 2001 and in 2002, which is this value in each year. (b) Using the average rate of change from t = 0 to t = 10, estimate S(11). $ Explain what the value of the answer means in the real-world context. O This means that from 1990 to 2000 if the fast food sales decreased the same amount each year the sales in 2001 would have been 69,840 +8,928.6(11) = 168,054.6 or $168,054,600,000. This means that from 1990 to 2000 if the fast food sales decreased the same amount each year the sales in 2001 would have been 69,840 - 8,928.6(1) = 60,911.4 or $60,911,400,000. This means that from 2000 to 2010 if the fast food sales increased the same amount each year the sales in 2011 would have been 69,840 + 8,928.6(11) = 168,054.6 or $168,054,600,000. This means that from 1990 to 2000 if the fast food sales increased the same amount each year the sales in 2001 would have been 69,840 + 8,928.6(1) = 78,768.6 or $78,768,600,000. This means that from 1990 to 2000 if the fast food sales increased the same amount each year the sales in 2001 would have been 69,840 + 8,928.6(11) = 168,054.6 or $168,054,600,000.

Answer 1

a) using averages, estimating sch) O page SCII)- SC10) + SC12) 2 P=> 159126 +19146) 2 $ 175,293, 500,000 (07) $ 175293. 5 million In the real coorld content a) It means that the amount of food sales en 2001 is estimated as being in the middle of the food sales from 2000 and 2002 b) using the average date of change from t-o to t = 16, estimate scam). Average rate of change 159126-69840 8928.6 - SC) 69840+ (8928.6X11) =$168054.6 million (os) $ 168,054,600,000 In the real world context b) It means that from 1990 to 2000 it ttie fort food sales eu creused the fame amount each year Itie fales in 2001 Loudel have been 69,8407 8928.6(11) =$168,054.668) $ 108,054,600,000 o It we were estimate sc13), it is possible to use boitte the mettede using averages - SC13) - S(12) +5(14) 19,461 +23),697 2 - $211577 (ov) $ 211,577,000,000 using average rate of change 191461469840 Average rate of change 10135.08. 2 12

1) the S013) - 69840 + 10135.08x13 ② page 201596.1 (ov)$2011596,100,000 - The right answer is a) Yes, but the average and thie average rate of change could not se present the same thing or provide Saline numerical value. d) If we use fuccesive difference, Ilie third consecitina dibbe- rence is generally 1316 .: S(22) 412932+ 84982 . $ 497914 (60) 497,914,000,000 (c) According to the estimation, in the year 2012, fast food restake- sant sales will reach this value Attaching the table sales years since 1990 zal ditt fit dift .2 nd ditt O 69,840 12593 1315 2633 1318 1316 2 82,433 96,341 13908 16541 4 1315 3949 1317 6 112882 20490 25754 5264 6581 1316 1316 133,372 159126 191,461 7897 9213 32335 40232 10 1316 12 10529 1317 49445 231, 693 14 11846 1316 16 13162 1281,13859974 1341, 112 71820 412,932 84982 18 20 (49:1914 22