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4. Answerto 3C
a)Beforetheintersection:Thenewapplepickerhasearnedmore
money.Hestartedoutwith $50extradollarswhichputshim aheadof
thefastapplepicker.Thefastapplepickerearnsmoneyatafasterrate
andquicklycatchesupto thenewhire.
b)At theintersection:Findtheintersectionpoint.Theearnings(Y) and
time(X)arethesamefor bothequationsattheintersectiononthegraph.
Thatmeansyoucansettheequationsequalto eachother
Ynast= 20X YN.r"= 10X+50
Ynast= YN.,o.Solvefor X. Thisisthetimewhenearningsareequal.
20X: 10X+ 50 Solvefor X
10X= 50
X=5
Subtract10X
Divideby 10
Fivehoursintotheworkdaythetwo applepickersearnedthesame
amount.Theamountis determinedby pluggingX - 5 intoeither
equation.Bothapplepickershaveearned$100dollarsafter5 hours.
c)Aftertheintersection:Thefastapplepickercontinuesto earnattwice
therateasthenewhire,steeperline.Aftertheintersection,thefast
applepickerearningsgoabovethenewhire.Shecontinuesto increase
earningsaheadof thenewhirefor therestof the day.