B1_Functions_UA.doc - Unit Activity Unit Functions This activity will help you meet these educational goals Mathematical Practices\u2014You will make sense

B1_Functions_UA.doc - Unit Activity Unit Functions This...

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© 2014 EDMENTUM, INC. Unit Activity Unit: Functions This activity will help you meet these educational goals: Mathematical Practices—You will make sense of problems and solve them, reason abstractly and quantitatively, construct viable arguments and critique the reasoning of others, use mathematics to model real-world situations, look for and make use of structure, and look for and express regularity in repeated reasoning. Introduction In this unit, you learned how to create, use, and compare functions. In this activity, you will analyze and compare real-world situations by modeling them as functions. __________________________________________________________________________ Directions and Analysis Task 1: Saving for Vacation Jerry plans to begin saving money for a trip by putting $1 in a savings account the first month and then adding enough to double the amount in the account each following month. 1
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a. After he finishes contributing to the account, he will withdraw $500 to make a down payment on the trip. Create a function to show how much money will be in the account if he finishes contributing to the account after t months. Type your response here: S(t) = 2^t - 1 . b. Jerry plans to keep up this saving pattern until he can no longer afford it. At that time, he hopes to have enough in his account for his trip. How much will be in the account, after
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