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Bellringer TBD based on QUIZ RESULTS!!!! Coordinate Algebra UNIT QUESTION: How can we use real-world situations to construct and compare linear and exponential models and solve problems? Standards: MCC9-12.A.REI.10, 11, F.IF.1-7, 9, F.BF.1-3, F.LE.1-3, 5 Today’s Question(s): 1. How can an unknown quantity be represented in an expression or an equation? What is the difference between the slope and shape of a linear function and an exponential function? Standard: MCC9–12.F.BF.1, F.LE.2 For each problem, write an equation to represent the situation and then answer the question. Example 1: Willem buys 4 mangoes each week, and mango prices vary from week to week. Write an equation that represents the cost of the mangoes. If each mango costs $1 this week, what is the total cost of his mangoes for this week? Example 1 Let the total cost of the mangoes = c. Let the price of each mango = p. The number of mangoes = 4. total cost = the number of mangoes • the price of each mango c = 4p If the cost of mangoes = $1, substitute 1 in for p. c = 4p c = 4(1) c=4 The total cost for Willem to buy mangoes this week is $4. For each problem, write an equation to represent the situation and then answer the question. Example 2: Kerin drives at a speed of 55 miles per hour on the highway for her job. Write an equation that represents the distance she travels. If one day she drives for 6 hours, how many miles did she travel? Example 2 Let distance = d. Let time = t. The rate = 55 mph. distance = rate • time d = 55t If the time = 6 hours, substitute 6 in for t. d = 55t d = 55(6) d = 330 Kerin drove 330 miles that day. Number 3 Let the total number of students Mr. Stevens teaches = t. Let the number of students in each class = s. The number of classes = 4. t = 4s If Mr. Stevens has 30 students in each class and all of them are present, substitute 30 in for s. t = 4s t = 4(30) t = 120 Mr. Stevens taught 120 students on the day when all of his students were present. Number 4 Let the number of hours Jessica has to read = h. Let the total number of pages = p. The number of pages per hour = 12. p = 12h If the number of hours = 3, substitute 3 in for h. p = 12h p = 12(3) p = 36 Jessica read 36 pages of her novel. Ok enough of that…. What are some other ways we can be presented functions? Graphs Tables Homework & Summary 6 creating from context 4 creating from a graph 5 creating from a table