Actual and predicted fast-food restaurant sales from 1990 to 2010 are given in the table. Fast-Food Restaurant Sales Years Since 1990 2 8 69,840 82,433 96,341 112,882 133,372 159,126 191,461 231,693 281,138 341,112 412,932 14 T 16 18 20 (a) Using averages, estimate S(11). $ Explain what the value of the answer means in the real-world context. 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 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. 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 2001 had the same amount of food sales as 2000 and 2002, which is this value in each year. (c) If you were to estimate S(13), would it be possible to use either averages or the average rate of change to arrive at the estimate? Justify your answer. Yes, but the average and the average rate of change would not represent the same thing or provide the same numerical value. Yes, and average and the average rate of change would represent the same thing or provide the same numerical value. No, neither the average and the average rate of change would represent the value of s(13). You could use the averages, but not the average rate of change to arrive at the estimate. You could use the average rate of change, but not the averages to arrive at the estimate. (d) Using successive differences, estimate S(22). $ Explain what the value of the answer means in the real-world context. According to the estimation, in the year 2022, fast food restaurant sales will reach this value. The difference in each successive year is this value. According to the estimation, in the year 2012, fast food restaurant sales will reach this value. The rate of change for each year is this value. According to the estimation, in the year 2002, fast food restaurant sales will reach this value