SinceV250,000 whent0 andV10,000 whent10, the line passes through the points0250000and1010000. The slope of the line through these points isgiven bym10,000250,000100 240,00010 24,000.Using the point-slope form of an equation of a line with theb.c.In 2014,t4 andV 24,0004250,000154,000, or $154,000.d.The rate of depreciation is given bym, or $24,000yr.050,000100,000150,000200,000250,00024681012tV(10, 10000)point1010000, we haveV10,000 24,000t10, orV 24,000t250,000. 23.Let the value of the workcenter system aftertyears beV. Whent0,V60,000 and whent4,V12,000. c.010,00020,00030,00040,00050,00060,000123456tV24.The slope of the line passing through the points0CandNSismSCN0SCN CSN. Using thepoint-slope form of an equation of a line with the point0C, we haveVC CSNt, orVCCSNt.25.The formula given in Exercise 24 isVCCSNt. WhenC1,000,000,N50, andS0, we haveV1,000,0001,000,000050t, orV1,000,00020,000t. In 2013,t5 andV1,000,00020,0005900,000, or $900,000. In 2018,t10 andV1,000,00020,00010800,000,or $800,000.26.The formula given in Exercise 24 isVCCSNt. WhenC24,000,N5, andS0, we haveV24,00024,00005t24,0004800t. Whent3,V24,000480039600, or $9600.27. a.DSSa17. If we think ofDas having the formDSmSb, thenma17,b0, andDis a linearfunction ofS.b.D045000417117647, or approximately 11765 mg.28. a.Dtt124aa24ta24. If we think ofDas having the formDtmtb, thenma24,ba24, andDis a linear function oft.b.Ifa500 andt4,D44124500104167, or approximately 1042 mg.Full file at
221STRAIGHT LINES AND LINEAR FUNCTIONS29. a.The graph offpasses through the pointsP10175andP210103. Its slope is103175100 072.An equation of the line isy175 072t0ory 072t175, so the linear function isft 072t175.b.The percentage of high school students who drink and drive at the beginning of 2014 is projected to bef13 07213175814, or 814%.
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- Euclidean geometry, Line segment