Unit5:MovingStraightAhead
Name______________________________
Investigation2.4-ConnectingTables,Graphs,andEquations
Considerthefollowingpledgeplans.Ineachsituation,yistheamountpledgedindollarsbyeach
sponsor,andxisthedistancewalkedinkilometers.
Plan1
y=5x–3
Plan2
y=-x+6
Plan3
y=2
A) 1.Whatinformationdoestheequationgiveaboutthepledgeplan?Doestheplanmakesense?
Plan1
Plan2
Plan3
Plan2
Y
Plan3
Y
2.Makeatableofvaluesfrom–5to5.
X
-5
-4
-3
-2
-1
0
1
2
3
4
5
Plan1
Y
MovingStraightAhead
X
-5
-4
-3
-2
-1
0
1
2
3
4
5
X
-5
-4
-3
-2
-1
0
1
2
3
4
5
ExploringLinearRelationshipswithGraphsandTables
3.Sketchagraphofeachplan.Notallpointswillfitontoyourgraphandthisisok.Whatpartofeach
graphisrelevanttothesituation?
Plan1
Plan2
Plan3
4.Whatishappeningtothey-valuesasthex-valuesincrease?Explainhowyouseethisinthetable,the
graphandtheequations.
Plan1
MovingStraightAhead
Plan2
Plan3
ExploringLinearRelationshipswithGraphsandTables
Unit5:MovingStraightAhead
Name______________________________
Investigation2.4-continued
B) 1.WhichgraphfrompartAcontainsthepoint(2,4)?
2.Howdothecoordinates(2,4)relatetotheequationoftheline?Howdoesitrelatetothe
correspondingtabledata?
3.Whatinformationdoesthecoordinate(2,4)tellusabouttheplan?
C) 1.Whichpledgeplan’svalueofxmakethisstatement8=5x–3?
2.Howwouldsolvingforxin8=5x–3helpyoufindthecoordinatesusedtographthepledgeplan?
D) Thefollowingthreepointsalllieonthegraphofthesamepledgeplan:
1. Findthemissingpartsofthecoordinatesand
2. Writeaquestionyoucouldanswerbyfinding
explainhowyoufoundit.
themissingcoordinate.
MovingStraightAhead
ExploringLinearRelationshipswithGraphsandTables
E) Useatable,graphorequationtoanswerthefollowingaboutthepledgeplany=5x–3.
1. Findthevalueofywhenx=7.Explainhowyoudidit.
2. Findthevalueofxwheny=23.Explainhowyoudidit.
MovingStraightAhead
ExploringLinearRelationshipswithGraphsandTables