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Published byMuriel Johns Modified over 9 years ago
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PRE-ALGEBRA
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Lesson 6-10 Warm-Up
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PRE-ALGEBRA Reasoning Strategy: Make a Table (6-10) To solve a problem that requires doing a chain of repeated calculations (you need the previous answer to find the next number in the pattern), it would be helpful to make a table. Example: At the beginning of the year 2008, the population of the U.S. was about 297.6 million. If the rate of population growth is 0.85% in 2008 and 0.02% more each year, what will the population be at the end of 2014? How can you use a table to solve a problem that requires you to make several repeated calculations to solve? The population at the end of 2014 will be 314.4 million people.
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PRE-ALGEBRA Martin had 100 trees in his orchard the first year. Each year after that he increased the number of trees in his orchard by 10%, rounded to the nearest whole number. How many trees did he have in his orchard in the sixth year? YearTree Count at Rate ofIncrease inTree Count at Beginning of Increase Tree CountEnd of Year Year(10%) 11000.110110 21100.111121 31210.112133 41330.113146 51460.115161 6161 Martin had 161 trees in the sixth year. LESSON 6-10 Additional Examples Reasoning Strategy: Make a Table
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PRE-ALGEBRA Solve. 1.For an auction item, the bid starts at $100 and increases 50% every minute. In how many minutes will the bid go over $2,500? 2.Sharon uses her initials, SLF, for her password. How many different three-letter passwords can she make with these letters? 3.In how many ways can you make 45¢ in change using only nickels, dimes, and quarters? 8 minutes 8 ways 6 passwords Lesson Quiz LESSON 6-10 Reasoning Strategy: Make a Table
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