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Warm-up #1. Describe the transformations that would be made to y = 3 x. Is this a growth or decay model?. Homework Review. Math 2. UNIT QUESTION: How can we use real-world situations to construct and compare linear and exponential models and solve problems?
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Warm-up #1 Describe the transformations that would be made to y = 3x Is this a growth or decay model?
Math 2 UNIT QUESTION: How can we use real-world situations to construct and compare linear and exponential models and solve problems? Standard: MCC9-12.A.REI.10, 11, F.IF.1-7, 9, F.BF.1-3, F.LE.1-3, 5 Today’s Question: How is interest earned in the bank modeled with an exponential equation? Standard: MMCC9-12.F.LE.1
Exponential Models y = Final P = initial t = time in years r = % of increase 1+r = growth factor y = Final P = initial t = time in years r = % of decrease 1- r = decay factor
1. Given the equation y = 15(1.75)x • Does this equation represent growth or decay?_______ • b)What is the rate of growth or decay? _______________ • c)What is the initial value? _______________ • d)Evaluate for x = 4 _______________
2. Given the equation y = 25(1.23)x • Does this equation represent growth or decay?_______ • b)What is the rate of growth or decay? _______________ • c)What is the initial value? _______________ • d)Evaluate for x = 2 _______________
4. The private tuition at a state college was $15,000. The tuition has about a 7.2% annual increase. • Write an exponential equation describing this situation. • How much will the tuition be 5 years from now?
5. A vintage radio was purchased by Grandma Schmidt in1945 for $16. You have the radio know what it’s worth. Each year the radio’s value increased 1.4%. . • Write an exponential equation describing this situation • What will the radio be worth in 2020?
Class work Finish Practice Worksheet
Homework Practice Worksheet