42. Offshore Crude Oil Production: Mexico The following table shows daily offshore crude oil production by Pemex, Mexico’s national oil company, for 2008–2014 (t 5 0 rep-resents 2008):6Year t (year since 2008)0 1 2 3 4 5 6Offshore Crude Oil Production s1t2 (million barrels/day)2.25 2.01 1.94 1.90 1.90 1.90 1.85a. Find s102, s122, and s142. Interpret your answers.b. Find s1422s102. Interpret your answer.

42. Offshore Crude Oil Production: Mexico The following table shows daily offshore crude oil production by Pemex, Mexico’s national oil company, for 2008–2014 (t 5 0 rep-resents 2008):6Year t (year since 2008)0 1 2 3 4 5 6Offshore Crude Oil Production s1t2 (million barrels/day)2.25 2.01 1.94 1.90 1.90 1.90 1.85a. Find s102, s122, and s142. Interpret your answers.b. Find s1422s102. Interpret your answer. 43. Social Website Popularity: Twitter The following table shows the popularity of Twitter among social media sites as rated by StatCounter.com (t is the number of years since the start of 2008):7Year t (year since start of 2008)1 2 4 5Twitter Popularity p1t2 (%)7 6 6 7a. Represent p graphically, and then use your graph to estimate p14.52. Interpret your answer.b. One of the following models fits the data almost exactly. Which model is it?(A) p1t25 0.4t32 4t21 12.5t 1 15(B) p1t25 20.33t21 2t 2 8.7(C) p1t25 20.4t31 4t22 12.5t 1 15(D) p1t25 0.33t22 2t 1 8.7 44. Social Website Popularity: Delicious The following table shows the popularity of Delicious among social media sites as rated by StatCounter.com (t is the number of years since the start of 2008):8Year t (year since start of 2008)1 2 3 4 5Delicious Popularity p1t2 (%)0.4 0.2 0.1 0.05 0.02a. Represent p graphically, and then use your graph to estimate p13.52. Interpret your answer.b. One of the following models fits the data exactly. Which model is it?(A) p1t250.8122t2(B) p1t250.812t2(C) p1t25 0.02t22 0.2t 1 0.6(D) p1t25 20.02t21 0.2t 2 0.6Housing Starts Exercises 45–48 refer to the following graph, which shows the number f 1t2 of housing starts for single‑family homes in the United States each year from 2000 through 2014 (t 5 0 represents 2000, and f 1t2 is in thousands of units):90246810 124002006001,0008001,2001,4001,6001,800f(t)14tHousing starts (thousands) 45. Estimate f 172, f 1142, and f 19.52. Interpret your answers. 46. Estimate f 132, f 162, and f 18.52. Interpret your answers. 47. Estimate f 17232 and f 1722f 132. Interpret your answers. 48. Estimate f 113232 and f 11322f 132. Interpret your answers. 49. ▼ For which value or values of t is f 1t1522f 1t2 great-est? Interpret your answer. 50. ▼ For which value or values of t is f 1t22f 1t212 least? Interpret your answer5 Source: www.pemex.com (March 2015).6 Ibid.7 Percentages are based on worldwide page views. Source: http://gs .statcounter.com.8 Figures are approximate. Source: Ibid.9 Data are approximate. Source: www.census.gov.74203_ch01_045-132.indd 60 12/1/16 10:10 AM