Name:____________________________________
EquationsofLinesInContext.
1. Writetheequationofthelinethroughthepoints(12,14)and(13,10).
2. Writetheequationofthelinethroughthepoints(‐2,16)and4,10).
3. Mr.Johnsdiscoveredthathisplantwasgrowinglinearlyatarateof0.5cmperminute.Att=50
minutesherecordedtheheight,hat110cm.Writeanequationtomodelthisscenario.
4. MissScarletdiscoveredthatherplantwasgrowinglinearlyatarateof0.25cmperminute.Att=
54minutessherecordedtheheight,h,at120cm.Writeanequationtomodelthisscenario.
5. Selmaislandscapingherfrontyard.Shehas$306tospendonflowersandbushes.Eachflower
costs$4.50andeachbushcosts$8.50.
a. Writeanequationinstandardformtorepresentthesituation.
b. Findtheinterceptsandexplainthemeaning.
c. IfSelmabuys17flowers,howmanybushescanshebuy?
d. IfSelmabuys9bushes,howmanyflowerscanshebuy?
6. Mikesamakesandsellsjewelry.Hernecklacessellfor$12.50andherbraceletssellfor$7.50.I
have$75.00tospendonjewelry.
a. Writeanequationinstandardformtorepresentthesituation.
b. Findtheinterceptsandexplainthemeaning.
c. IfIbuy3necklaces,howmanybraceletscanIbuy?
d. IfIbuy5bracelets,howmanynecklacescanIbuy?
Pay($)
7. Mollyisgettingaraiseatwork.Thegraphattherightshowsherincomeovertime.
ThefunctionP(h)=8.5h+200
a. Accordingtothemodelhow
manyhoursmustsheworkto
earn$250?
b. Accordingtothemodelwhatwillher
paybeat12hours?
Hours
c. Inyourownwordsexplainwhattheequation319=8.5h+200meansinthecontextofthe
problem.
Peggy’sprofit,P,forhersellingnnecklacesismodeledbythefunctionP(n)=2.5n–50.
1. Whatistheverticalinterceptforthissituation?WhatdoesitmeanforPeggy?
2. Whatisthehorizontalinterceptforthissituation?WhatdoesitmeanforPeggy?