1. Slide 11 - 1 Copyright © 2009 Pearson Education, Inc. 11.1 Percent

2. Slide 11 - 2 Copyright © 2009 Pearson Education, Inc. Objective Student will be able to:  Change a number to a percent  Change a percent to a number  Use the percent change formula to solve word problems

3. Slide 11 - 3 Copyright © 2009 Pearson Education, Inc. Percent The word percent comes from the Latin per centum, meaning “per hundred.” A percent is simply a ratio of some number to 100. Example:

4. Slide 11 - 4 Copyright © 2009 Pearson Education, Inc. Procedure to Change a Fraction to a Percent Divide the numerator by the denominator. Multiply the quotient by 100 (which has the effect of moving the decimal point two places to the right). Add a percent sign. Example: Change to a percent. Solution: By following the steps above,

5. Slide 11 - 5 Copyright © 2009 Pearson Education, Inc. Practice problem Change into a percent.

6. Slide 11 - 6 Copyright © 2009 Pearson Education, Inc. Procedure to Change a Decimal Number to a Percent Multiply the decimal number by 100. Add a percent sign. Example: Change 0.569 to a percent. Solution:

7. Slide 11 - 7 Copyright © 2009 Pearson Education, Inc. Practice Problem Change.05 into a percent.

8. Slide 11 - 8 Copyright © 2009 Pearson Education, Inc. Procedure to Change a Percent to a Decimal Number Divide the number by 100. Remove the percent sign. Example: Change 14% to a decimal number. Change to a decimal number. Solution:

9. Slide 11 - 9 Copyright © 2009 Pearson Education, Inc. Percent Change The percent increase or decrease, or percent change, over a period of time is found by the following formula:  If the amount in the latest period is greater than the amount in the previous period, the answer will be positive and indicate a percent increase.  If the amount in the latest period is smaller than the amount in the previous period, the answer will be negative and indicate a percent decrease.

10. Slide 11 - 10 Copyright © 2009 Pearson Education, Inc. Example: Percent Change The family membership enrollment at a fitness center was 805 families. Five years later, the enrollment was 875 families. Find the percent of change over the five year period. Solution: TThere was about an 8.7% increase in the number of family memberships.

11. Slide 11 - 11 Copyright © 2009 Pearson Education, Inc. Percent Markup The following formula represents percent markup or markdown on cost.  A positive answer indicates a markup.  A negative answer indicates a mark down. Percent markup or markdown on cost

12. Slide 11 - 12 Copyright © 2009 Pearson Education, Inc. Example: Percent Markup The Dusty Lens Camera Shop pays $68.45 for a camera. They regularly sell them for $157.99. At a weekend sale, they sold for $142.88. Find: the percentage markup on the regular price the percentage markup on the sale price the percentage decrease of the sale price from the regular price.

13. Slide 11 - 13 Copyright © 2009 Pearson Education, Inc. Solution: TThus the percent markup on the regular price was about 130.8%.

14. Slide 11 - 14 Copyright © 2009 Pearson Education, Inc.  Thus the percent markup on the discounted price was about 108.7%. Solution:

15. Slide 11 - 15 Copyright © 2009 Pearson Education, Inc. Solution continued  The sale price is about 9.6% lower than the regular price.

16. Slide 11 - 16 Copyright © 2009 Pearson Education, Inc. Practice problem Mrs. Tintle went shopping at Macy’s. The original price of a necklace was $150. The sale price is $120. What percent discount did Mrs. Tintle get on the necklace?

17. Slide 11 - 17 Copyright © 2009 Pearson Education, Inc. What is 6.5% of $150? What : x Is : = Of : multiply X = 0.065(150) X = 9.75

18. Slide 11 - 18 Copyright © 2009 Pearson Education, Inc. Practice problem a. 15 is what percent of 60? b. 30 is 25% of what number?

19. Slide 11 - 19 Copyright © 2009 Pearson Education, Inc. Homework P. 607 - # 7 – 67 eoo Show all work