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Practice Problems
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Period: ________ Date: ____________

 
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Solve:

1) Given the following graph, create the adjacency matrix that corresponds to it:

Use this adjacency matrix to figure out how many different ways we can travel from "C" to "B" using 2 or less plane edges.

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2) The monthly payment for a car loan depends upon the annual interest rate, the amount of the loan, and the length of the loan. The matrix shows different monthly payments (in hundreds of dollars) for a loan. The amounts of the loans are listed as rows: $17,000, $3,000, $20,000 in order. The time in years, 6 years, 21 years, 9 years are listed in the columns. If you are given the following matrix, what is the monthly payment for a loan of $20,000 taken out for 6 years?


















3) Spell checkers work by using an adjacency matrix to see how close the other words are to it. Assume our dictionary consists of the following words: wine, wire, tire, ware, wart.
Create an adjacency matrix that shows which words are one letter off of each other. For the matrix, use the words in the order given.

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4) In the suburb area, 30% of the people in the city move to the suburbs each year and 10% of the people in the suburbs move to the city. This year, there were 500,000 residents in the city and 500,000 residents outside. What is the estimate of the suburb population 2 years from now?

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