MCAS 2000, 10th Grade Math, Questions 41-42

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Question #41

Use the graphic to answer question 41.

The size of a television screen is measured by the diagonal distance across the screen.

a. A 15" diagonal screen has a horizontal width of 12". What is the vertical height of the screen? Show or explain how you found your answer.

b. A 50" diagonal screen is to have its dimensions proportional to those of the screen in part a. What are its width and height? Show or explain how you found your answers.

c. Suppose that the ratio of a television's width to its height was 3 to 2. What would be the dimensions of a 17" diagonal screen? Show or explain how you found your answer.


Question #42

The Main Street Cinema is planning to add a coffee bar. The owners estimate that the fixed monthly expenses will be $2,700. Additionally, each cup of coffee will cost $0.25 to make and will be sold for $0.95. The owners estimate that they will sell 3,000 cups of coffee each month.

a. What would be their monthly profit or loss on selling coffee? Explain or show how you found your answer.

b. What price per cup would they have to charge to break even (neither a profit nor a loss)? Explain or show how you found your answer.

c. The owners need a formula to calculate monthly profit or loss. Using the variables listed below, write a formula to determine their monthly profit or loss.


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