PRE-ALGEBRA

PRE-ALGEBRA

Lesson 6-10 Warm-Up

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.

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?

Year Tree Count at Rate of Increase in Tree Count atBeginning of Increase Tree Count End of Year

Year (10%)1 100 0.1 10 1102 110 0.1 11 1213 121 0.1 12 1334 133 0.1 13 1465 146 0.1 15 1616 161

Martin had 161 trees in the sixth year.

LESSON 6-10

Additional Examples

Reasoning Strategy: Make a Table

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