Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2013 Grade 8 Algebra

Problem
1) Kyle is hired in 2013 at a company where he earns $8.50 an hour. The company awards an annual pay raise of 3% to the nearest penny to all of its employees. What will Kyle's hourly earnings be in 5 years if he continues working for this company in the same position?
2) A bat ate a total of 1050 flies on four consecutive nights. Each night she ate 25 more than the night before. How many flies did she eat the first night?
3) Consider the sequence of right triangles shown. If the patterns in the base and height lengths continue, what is the area of the 9th triangle in the sequence in square units?
4) The Green's family garden needs to be weeded. Chris can weed the garden in 1 hour. Sam can weed the garden in 1/2 hour. When Jo helps them, they can weed the garden in 10 minutes, all working together. How long would it take Jo to weed the garden working alone? Give your answer to the nearest minute.

5) Molly's Airport Limo Service advertises her rates with the graphic shown, while Bob's Limousine Service uses the table that represents linear data. My sister and her fiance want the cheaper limo ride on their wedding day for the 10 mile trip to the airport. Which one is cheaper and what is the positive difference between the cost of the 10 mile trip with each service?