module 4 practice name key exponential...

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©2012MathematicsVisionProject|MVPInpartnershipwiththeUtahStateOfficeofEducation

Licensed under the Creative Commons Attribution‐NonCommercial‐ShareAlike 3.0 Unported license. 

 

 

 Module4PracticeLinearandExponentialFunctions

TE‐8 

 Name____________KEY____________

 

Themoldonapieceofbreadhasanareaof0.0001mm2.Theareaofmoldonthebreadtripleseveryday,andthesurfaceareaofthebreadis500mm2. 1.Forthissituation,isthegrowthofmoldonthebreadwithrespecttotimecontinuousordiscrete? Answersshouldbetwoofthefollowingthreewords:Continuous,Exponential,Increasing2.Createatableandagraphdescribingtimeandareainthesituationabove.Makesureeverythingisclearly

labeledandeasytoread.

HourAreaofMold

 0 0.0001

 

1 0.0003 

2 0.0009 

3 0.0027 

4 0.0081

Graphwillbeexponentialwithy‐intercept0.0001.Thescaleusedbystudentswilldeterminethegraph.

 

          

3.Writeafunctionoftheareaofthemoldwithrespecttothetimeithasbeengrowing. 0.001 3 4.Abouthowlongwillittakeforthemoldtocovertheentiresurfaceofthebread? Around14daysForeachrepresentationofafunction,decideifthefunctionislinear,exponential,orneither. 

exponential

linear

5. Thepopulationofatownisdecreasingatarateof1.5%peryear. 6. Joanearnsasalaryof$30,000peryearplusa$400bonus

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