STUDY GUIDE FOR CHAPTER 2 Name_________________ Hour________

VocabularyDefine each word.

1. Discrete data- 2. Continuous data-

3. Direct variation- 4. Origin-

5. Constant of Proportionality-

2.1 Complete the table and graph. Then decide if this is an example of discrete or continuous data and explain why. 6.

2.2 Calculate the constant of proportionality, k, for each proportional relationship given. K=yx

7. K= _______

Write and solve an equation using the constant of proportionality to answer the question. 8. The constant of proporitonality between the number of cats (c) in a pet shelter and the number of dogs (d) in the shelter is 3. There are 27 cats in the shelter. How many dogs are in the shelter?

2.3 9. Write a proportion involving the two variables and solve it to determine each unknown table value. Then find the constant of proportionality. K=__________

Use the equation for the constant of proportionality, k = yx , to determine each unknown value.

10. k = 6 and y = 2 11. k = 56 and x = 126

2.4 Determine whether the relationship between the two data sets is proportional. Justify your anwswer.

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2.5Complete each table. Then, graph the values from the table on the coordinate plane shown. Connect the points if it is reasonable to do so.14.

Determine the constant of proportionality k and interpret it in the context of each problem. Follow the example below to answer the next two questions.

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2.6 Determine the constant of proportionality and tell what it respresents in each situation.

17. The number of mini-muffins (m) Hector bakes is directly proportional to the number of cups (c) of mix that he uses. Hector uses 2.5 cups of mix to bake 45 mini-muffins.

18. The score (s) on a test is directly proportional to the number of questions (q) that the test taker answers correctly. Cindy scores 73.5 points by answering 21 questions correctly.

Write and solve a direct variation equation to answer each question. The first one has been done for you.

19. The relationship between Mexican pesos and American dollars is a direct proportional relationship. During Kevin’s vacation, Kevin exchanged 20 American dollars for 250 Mexican pesos. How many pesos would he receive for 50 dollars?

20. The length of a segment on a blueprint is diredctly proportional to the corresponding length in a house. A segment that is 15.75 centimeters on the blueprint corresponds to a beam that is 21 feet long in the house. If the length of a segment on the blueprint is 20.25 centimeters, what is the corresponding length in the house?