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Common Core Mathematics II Direct Variation and Inverse Variation practice Name: _________________________ #______ Date: __________________________ Directions: Read each question carefully. Think about the work we did in class, using solvable equations to find patterns. College Prep: Do #1-2 Honors: Do #2-3 1) Examine the table below, which describes a relationship between x and y. Then answer the questions that follow. X Y 4 8 12 16 20 3 6 9 12 15 a) Is this a case of direct variation or inverse variation? Explain b) Assume the same relationship. What would be the value of y if x = 28? c) What would be the value of x if y = 27? d) What is the constant of proportionality in this case? 2) Examine the table below, which describes a relationship between x and y. Then answer the questions that follow. X Y 20 40 60 80 100 5 2.5 1.666… 1.25 1 a) Is this a case of direct variation or inverse variation? Explain b) Assume the same relationship. What would be the value of y if x = 50? c) What would be the value of x if y = 10? d) What is the constant of proportionality in this case? 3) Complete the table below, which describes a relationship between x and y. Then answer the questions that follow. X Y 2 4 6 10 20 62.5 20.8333… a) Is this a case of direct variation or inverse variation? Explain b) Assume the same relationship. What would be the value of y if x = 250? c) What would be the value of x if y = .1? d) What is the constant of proportionality in this case?