module 4 practice name key exponential...

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© 2012 Mathematics Vision Project | MVP In partnership with the Utah State Office of Education Licensed under the Creative Commons AttributionNonCommercialShareAlike 3.0 Unported license. Module 4 Practice Linear and Exponential Functions TE‐8 Name____________KEY____________ The mold on a piece of bread has an area of 0.0001 mm 2 . The area of mold on the bread triples every day, and the surface area of the bread is 500 mm 2 . 1. For this situation, is the growth of mold on the bread with respect to time continuous or discrete? Answers should be two of the following three words: Continuous, Exponential, Increasing 2. Create a table and a graph describing time and area in the situation above. Make sure everything is clearly labeled and easy to read. Hour Area of Mold 0 0.0001 1 0.0003 2 0.0009 3 0.0027 4 0.0081 Graph will be exponential with yintercept 0.0001. The scale used by students will determine the graph. 3. Write a function of the area of the mold with respect to the time it has been growing. ݔሻ ൌ 0.001ሺ3ሻ 4. About how long will it take for the mold to cover the entire surface of the bread? Around 14 days For each representation of a function, decide if the function is linear, exponential, or neither. exponential linear 5. The population of a town is decreasing at a rate of 1.5% per year. 6. Joan earns a salary of $30,000 per year plus a $400 bonus

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Page 1: Module 4 Practice Name KEY Exponential Functionsmsshultis.weebly.com/.../module_4_and_5_review_key.pdf · 2018-10-11 · Module 4 Practice Linear and Exponential Functions TE‐8

©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

Page 2: Module 4 Practice Name KEY Exponential Functionsmsshultis.weebly.com/.../module_4_and_5_review_key.pdf · 2018-10-11 · Module 4 Practice Linear and Exponential Functions TE‐8
Page 3: Module 4 Practice Name KEY Exponential Functionsmsshultis.weebly.com/.../module_4_and_5_review_key.pdf · 2018-10-11 · Module 4 Practice Linear and Exponential Functions TE‐8
Page 4: Module 4 Practice Name KEY Exponential Functionsmsshultis.weebly.com/.../module_4_and_5_review_key.pdf · 2018-10-11 · Module 4 Practice Linear and Exponential Functions TE‐8