1. Exercise 30% 15 50 Express the ratio as a percent.

2. 25% 15 60 Express the ratio as a percent. Exercise

3. 30 What is 60% of 50? Exercise

4. 60% of what number is 150? 250 Exercise

5. What percent of 50 is 150? 300% Exercise

6. Determine next year’s sales goal, N, if the company wants to increase this year’s sales of $250,000 by 15%. N = $287,500 The goal is 115% of last year’s sales. N = 1.15(250,000) Example 1

7. Percent Change Formula percent change = amount of change original amount x 100%

8. Finding the Percent Change 1.Subtract to find the amount of change. 2.Divide the amount of change by the original amount.

9. Finding the Percent Change 3. Convert the quotient to a percent and indicate whether it is an increase or a decrease.

10. What is the percent change from 75 to 100? 100 – 75 = 25 change original 25 75 == = 0.3 The percent change is a 33.3% increase. Example 2

11. Find the percent change. Round to the nearest whole percent. 29% original amount: 42 new amount: 54 Example

12. Find the percent change. Round to the nearest whole percent. 49% original amount: 150 new amount: 224 Example

13. Find the percent change. Round to the nearest whole percent. 17% original amount: 1,080 new amount: 900 Example

14. Find the percent change, to the nearest whole percent, from 19 to 16. Indicate whether it is an increase or a decrease. 19 – 16 = 3 3 19 ≈ 0.16 = 16% decrease Example 3

15. Find the percent change from 2,400 to 2,650. Indicate whether it is an increase or decrease. Round to the nearest whole percent. 10% increase Example

16. Find the percent change from 13 to 18. Indicate whether it is an increase or decrease. Round to the nearest whole percent. 38% increase Example

17. Find the percent change from 144 to 120. Indicate whether it is an increase or decrease. Round to the nearest whole percent. 17% decrease Example

18. Last year Mrs. Rutherford’s homeroom sold 56 cartons of candy bars. This year her homeroom sold 80 cartons. What was the percent change? Give the answer to the nearest tenth of a percent. Example 4

19. Last year Mrs. Rutherford’s homeroom sold 56 cartons of candy bars. This year her homeroom sold 80 cartons. = 42.9% increase 24 56 ≈ 0.429 80 – 56 = 24

20. Dillon has 65 baseball cards and Joseph has 50. Dillon has what percent more than Joseph? Joseph has what percent less than Dillon? 65 – 50 = 15 Example 5

21. Dillon has 65 baseball cards and Joseph has 50. Dillon has 30% more cards than Joseph. Joseph has 23% less than Dillon. 15 50 = 30% 30 100 == 15 65 ≈ 0.23 = 23%

22. Find the percent change in the following problems. Indicate whether it is an increase or a decrease. Round to the nearest whole percent. Example

23. Caleb earned $225 per week waiting on tables at a restaurant last summer. This year he earned $305 per week. 36% increase Example

24. A couple bought a new car for $18,995 three years ago. They just sold it for $8,000. 58% decrease Example

25. Mr. Fremont’s homeroom brought in 14,000 lb. of nonperishables last year in the food drive. This year they brought in 16,500 lb. 18% increase Example

26. Seth bought a guitar on sale for $250. It had been reduced from $290. 14% decrease Example