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Algebra 1 Name___________________________________ ID: 1 ©f k2p0M2A1X gKauqtaa] zS]oZfdtwwFaFraeQ LLDLcCw.P N vAOlkl\ QraiagkhPtQse YrqeQsKe[rwv[eBdl. Assignment Date________________ Period____ Construct a scatter plot. State if there appears to be a positive correlation, negative correlation, or no correlation. When there is a correlation, identify the relationship as linear, quadratic, or exponential. Also find the slope-intercept form of the equation of the line that best fits the data and its r² value. 1) X 100 100 200 300 500 Y 7,000 7,000 7,000 6,000 5,000 X 600 700 700 900 1,000 2) Y 4,000 3,000 3,000 2,000 1,000 X 200 400 600 600 700 Y 310 180 290 790 500 X 800 800 800 900 1,000 Y 100 310 780 780 380 7000 700 6000 600 5000 500 4000 400 3000 300 2000 200 1000 100 200 400 600 800 1000 200 400 600 800 1000 Worksheet by Kuta Software LLC -1- ©y \2L0V2D1I QKuuMtuaU ESfozfstJwdagrue] MLYLKCx.U [ gASl^lu urmiJgOhytjss JrTeaszebryv[exdT._ x eMaaAdAeP ZwqiltahO zIvnbfFi]nbiCtoeO EAMlugGe\bxrPaB ]1x. 3) X 20 70 120 150 Y 20 20 30 20 X 210 330 530 Y 30 40 50 X 610 760 890 4) Y 60 50 70 X 300 400 900 1,100 2,800 Y 6 6 6 6 4 X 2,900 4,600 5,400 9,500 9,700 Y 5 4 3 1 1 70 6 60 5.5 5 50 4.5 40 4 3.5 30 3 2.5 20 2 1.5 10 1 200 400 600 0.5 800 2000 5) X 0.1 0.3 0.3 0.4 0.4 Y 0.19 0.29 0.33 0.4 0.4 X 0.5 0.5 0.6 0.9 1.2 4000 6000 8000 Y 0.42 0.44 0.46 0.68 0.86 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.5 1 1.5 2 Worksheet by Kuta Software LLC -2- ©Q X2x0z2L1s jKwuntaaj VSMoTfntwwUaYrZeq eLwLPCt.O V yAilplD rrTiKg]hPt`so JrgeCshe]r\vOe_dA.` _ eMwaLdUeK fwtiLtIha GI_nnfKiBnzitt\eW CAalggeewbcrnaU `1v. 6) The number of marriage licenses issued by Clark County Nevada, the county where Las Vegas is located, has been decreasing since the year 2000: This can be modeled by the equation y = -3566.7x + 7276500 where x is the year and y is the number of marriage licenses issued. Year Marriage Licenses 139,000 135,000 126,000 109,000 105,000 90,900 Marriage Licenses 2001 2002 2005 2010 2011 2014 150000 140000 130000 120000 110000 100000 90000 2000 2004 2008 2012 2016 Year a) What does the y-intercept of this function represent? Y- Intercept year = marriage licenses b) According to the model, how many marriage licenses were issued in 2004? Round your answer to the nearest hundred. 131,800 c) Using this model, how many marriages licenses would you expect to be issued in 2017? Round your answer to the nearest hundred. 68,000 d) According to the model, in what year did Clark County issue 110,000 marriage licenses? Disregard years before 1990. Round your answer to the nearest year. 2007 Worksheet by Kuta Software LLC -3- ©L L2p0_2W1` eKGuHtbaL zSZoTfItSw\atrKe` \LNLuCd.Q S oAUlZlv zrXiLgEhDtjsg lrFe^sSeerRvqeMdv.s t pMsand`eY Xw_iAtEh_ UIGnGfPi[nqigtjer XAbligIeVb`r\a] F1E. Minted (100 mill.) In Sample 3.5 5 8 16 10.9 19 13.2 33 15.7 36 17 39 Natalie discovered that this can be modeled by the equation y = 2.61x - 4.99 where x is the number of nickels minted in a particular year in hundreds of millions and y is the number of nickels from that year in her sample. 40 # In Sample 7) Natalie collects coins. Over a three-year period she collected 1,000 nickels. After organizing them by year, she found that the number of nickels from a given year was related to the number minted that year: 30 20 10 2 4 6 8 10 12 14 16 # Minted (100 million) a) What does the y-intercept of this function represent? the number of nickels in the sample when zero were nickels b) Using this model, in a sample of 1,000 nickels how many would you expect to be from a year in which 5.4 hundred million were minted? Round your answer to the nearest whole number. 19 coins c) According to the model, how many nickels from a year in which 21 hundred million were minted would you expect to find in a sample of 1,000? Round your answer to the nearest whole number. 33 coins d) A sample of 1,000 nickels contains 20 from a particular year. According to the model, how many would you expect to have been minted that year? Round your answer to the nearest tenth of a hundred million. 12 hundred million Worksheet by Kuta Software LLC -4- ©t w2r0_2a1T lKtuNtRak aSTolf[tRwLairDeW pL_LHCh.C N aAUlhlM \rpitglhYtCsi krYeVscejrcvSesdo.V N NMcakdaeK nwtiQtCho wIbnDfciOnJiKteen IANlagReFbHrPaT Y1\. This can be modeled by the equation y = 571x - 11100 where x is the corruption score and y is GDP per capita in dollars. GDP Per Capita ($) 8) Economists have found that the amount of corruption in a country is correlated to the productivity of that country. Productivity is measured by gross domestic product (GDP) per capita. Corruption is measured on a scale from 0 to 100 with 0 being highly corrupt and 100 being least corrupt: Corruption Score GDP Per Capita ($) 17 3,790 33 7,010 39 6,450 43 10,300 60 19,900 67 34,000 30000 25000 20000 15000 10000 5000 10 20 30 40 50 60 Corruption Score a) What does the y-intercept of this function represent? the GDP of a country with a corruption score of 0 b) According to the model, what would be the GDP per capita of a country with a corruption score of 24? Round your answer to the nearest dollar. 5,470 c) Using this model, a country with a corruption score of 76 would have what GDP per capita? Round your answer to the nearest dollar. 40,000 d) A GDP per capita of $19,000 corresponds to what corruption score, according to the model? Round your answer to the nearest whole number. 25 and .96 Worksheet by Kuta Software LLC -5- ©l S2z0[2A1^ aKpuutEaa aSYoJfPtYwBayr\ej ALALtCJ.t Y DAAl_lf DrciZgBhXtgsq qrFersje[rSvNecdu.w u jMjaBdIeN BwfimtPhR zIKnyfHiqntiLtoez RAClLgJe`bdrLaP M1w. Height (ft) Weight (lbs) 4.7 96.8 4.8 102 5.05 111 5.55 138 6.1 169 6.35 184 It was discovered that this can be modeled by the equation y = 52.8x - 153 where x is height in feet and y is weight in pounds. 200 Weight (pounds) 9) The height and weight of several adults were recorded: 180 160 140 120 100 4.5 5 5.5 6 6.5 7 Height (feet) a) What does the y-intercept of this function represent? the weight of an adult zero feet tall b) Using this model, what would be the weight of someone who is 5.45 ft tall? Round your answer to the nearest tenth. 123 c) According to the model, what would be the weight of someone who is 6 ft tall? Round your answer to the nearest tenth. 165 d) What height corresponds to a weight of 160 pounds? Round your answer to the nearest hundredth. 5.7 Worksheet by Kuta Software LLC -6- ©f K2g0L2p1n iKruktCaX oSno`fKtQwKa^rIet KLPLYCd.u C YAXlylt \rBipgAhHtgsK ]rPeRsvexrcvMeLdA.L B OMKaUdyeO Rwoi`tLhN DIcnhfYiZn_imtbek mAylmg^eIbQrcaE b1P. Kilometers Cost ($) 350 86.7 1,300 246 1,750 308 2,650 461 3,150 441 3,600 509 This can be modeled by the equation y = 0.128x + 69.2 where x is distance in kilometers and y is cost in dollars. 500 400 Cost ($) 10) The cost of a flight is related to the distance traveled: 300 200 100 1000 2000 3000 Distance (km) a) What does the y-intercept of this function represent? cost of flight that has 0 miles flown b) Using this model, what would be the cost of a flight that travels 2200 kilometers? Round your answer to the nearest dollar. 355$ c) According to the model, how much would a 4800-km flight cost? Round your answer to the nearest dollar. 621 d) What distance corresponds to a cost of $180? Round your answer to the nearest kilometer. 550 kilometers Worksheet by Kuta Software LLC -7- ©^ I2r0c2P1_ TKWuEtrar KScoNfFtpwsaWrEel ^LOLhCu.w b vAWlXle hrGizg]h[tYsZ Ar[e^sSedrevxePdr.U I yMHaVduea [wLiwtGhV JIlnKfRinnMiIt[eb qAdlHgTenb`rpax Z1`.