SECONDARY MATH I // MODULE 2

LINEAR & EXPONENTIAL FUNCTIONS – 2.6

Mathematics Vision Project

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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

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SECONDARY MATH I // MODULE 2

LINEAR & EXPONENTIAL FUNCTIONS – 2.6

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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

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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

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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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