Teacher/User Name: DEMO Name:__________________________ Practice ProblemsBy Easy Worksheet Period: ________ Date: ____________

### 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.

By Easy Worksheet

By Easy Worksheet

By Easy Worksheet

By Easy Worksheet

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?
 2 7 3 6 4 7 4 1 2
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.

By Easy Worksheet

By Easy Worksheet

By Easy Worksheet

By Easy Worksheet

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?