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SECONDARY MATH I // MODULE 2
LINEAR & EXPONENTIAL FUNCTIONS – 2.6
Mathematics Vision Project
Licensed under the Creative Commons Attribution CC BY 4.0
mathematicsvisionproject.org
2.6
READY Topic:Comparinglinearandexponentialmodels.Comparingdifferentcharacteristicsofeachtypeoffunctionbyfillinginthecellsofeachtableascompletelyaspossible.
y=4+3x y=4(3x)
1.Typeofgrowth
2.Whatkindofsequencecorrespondstoeachmodel?
3.Makeatableofvalues
x y
x y
4.Findtherateofchange
5.Grapheachequation.
Comparethegraphs.
Whatisthesame?
Whatisdifferent?
6.Findthey-interceptfor
eachfunction.
20
18
16
14
12
10
8
6
4
2
5 10 15 20
20
18
16
14
12
10
8
6
4
2
5 10 15 20
READY, SET, GO! Name PeriodDate
Homework help at www.rsgsupport.org 96
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SECONDARY MATH I // MODULE 2
LINEAR & EXPONENTIAL FUNCTIONS – 2.6
Mathematics Vision Project
Licensed under the Creative Commons Attribution CC BY 4.0
mathematicsvisionproject.org
2.6
7.Findthey-interceptsforthefollowingequations
a)y=3x
b)y=3x
8.Explainhowyoucanfindthey-interceptofalinearequationandhowthatisdifferentfromfinding
they-interceptofageometricequation.
SET Topic:Efficiencywithdifferentformsoflinearandexponentialfunctions.Foreachexerciseorproblembelowusethegiveninformationtodeterminewhichoftheformswouldbethemostefficienttouseforwhatisneeded.(Seetask2.6,Linear:slope-intercept,point-slopeform,recursive,Exponential:explicitandrecursiveforms)
9. Jasmine has been working to save money and wants to have an equation to model the amount of
money in her bank account. She has been depositing $175 a month consistently, she doesn’t remember
how much money she deposited initially, however on her last statement she saw that her account has
been open for 10 months and currently has $2475 in it. Create an equation for Jasmine.
Whichequationformdoyouchoose? Writetheequation.
10.
The table below shows the number of rectangles created every time there is a fold made through the
center of a paper. Use this table for each question.
Folds Rectangles
1 2
2 4
3 8
4 16
A. Find the number or rectangles created with 5 folds.
Whichequationformdoyouchoose?
Writetheequation.
B.Findthenumberofrectanglescreatedwith14folds.
Whichequationformdoyouchoose?
Writetheequation.
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SECONDARY MATH I // MODULE 2
LINEAR & EXPONENTIAL FUNCTIONS – 2.6
Mathematics Vision Project
Licensed under the Creative Commons Attribution CC BY 4.0
mathematicsvisionproject.org
2.6
11.UsinganewappthatIjustdownloadedIwanttocutbackonmycalorieintakesothatIcanloseweight.Icurrentlyweigh90kilograms,myplanistolose1.2kilogramsaweekuntilIreachmygoal.HowcanImakeanequationtomodelmyweightlossforthenextseveralweeks.Whichequationformdoyouchose?Writetheequation.12.SinceScottstarteddoinghisworkoutplanJanethasbeeninspiredtosetherselfagoaltodomoreexerciseandwalkalittlemoreeachday.Shehasdecidedtowalk10metersmoreeveryday.Ontheday20shewalked800meters.Howmanymeterswillshewalkonday21?Onday60?Whichequationformdoyouchose?Writetheequation.Foreachequationprovidedstatewhatinformationyouseeintheequationthatwillhelpyougraphit,thengraphit.Also,usetheequationtofillinanyfourcoordinatesonthetable.13. ! = !
!!8
14. ! = 5 ! − 2 − 6
Whatdoyouknowfromtheequation
thathelpsyoutographthefunction?
Whatdoyouknowfromtheequation
thathelpsyoutographthefunction?
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SECONDARY MATH I // MODULE 2
LINEAR & EXPONENTIAL FUNCTIONS – 2.6
Mathematics Vision Project
Licensed under the Creative Commons Attribution CC BY 4.0
mathematicsvisionproject.org
2.6
GO Topic:Solvingone-stepequationswithjustification.Recallthetwopropertiesthathelpussolveequations.TheAdditivepropertyofequalitystates:Youcanaddanynumbertobothsidesofanequationandtheequationwillstillbetrue.TheMultiplicativepropertyofequalitystates:Youcanmultiplyanynumbertobothsidesofanequationandtheequationwillstillbetrue.Solveeachequation.Justifyyouranswerbyidentifyingtheproperty(s)youusedtogetit.Example1: ! − 13 = 7Justification+13+13additivepropertyofequality ! + 0 = 20addition ! = 20additiveidentity(Youadded0andgotx.)Example2:5! = 35Justification !! ! = !"! multiplicativepropertyofequality(multipliedby
!!)
1! = 7multiplicativeidentity(Anumbermultipliedbyitsreciprocal=1)15. 3! = 15Justification
16. ! − 10 = 2Justification
17. −16 = ! + 11Justification
18. 6 + ! = 10Justification
19. 6! = 18Justification
20. −3! = 2Justification
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