Obj. #1: Find percent of increase.

Example 1 Find Percent of Change

Example 2 Find Percent of Increase

Example 3 Find Percent of Increase

Obj. #2: Find Percent of decrease.

Example 4 Find Percent of Decrease

Practice and Apply

Obj. #1: Find percent of increase.

11, 17, 19 (alt. 11, 19)

Obj. #2: Find Percent of decrease.

13, 15, 21 (alt. 13, 21)

Maintaining Your Skills

29-37

Find the percent of change from 325 to 390.

Step 1 Subtract to find the amount of change.

Step 2 Write a ratio that compares the amount of change to the original amount. Express the ratio as a percent.

Substitution.

Obj. #1: Find percent of increase

Write the decimal as a percent.

Answer: The percent of change from 325 to 390 is 20%.

Obj. #1: Find percent of increase

Tuition In 1965, when John entered college, the tuition per year was $7500. In 2000, when his daughter went to the same school, the tuition was $25,500. Find the percent of change.

Step 1 Subtract to find the amount of change.

Step 2 Write a ratio that compares the amount of change to the original tuition. Express the ratio as a percent.

Obj. #1: Find percent of increase

Answer: The percent of change is 240%. In this case, the percent of change is a percent of increase.

Substitution.

Write the decimal as a percent.

Obj. #1: Find percent of increase

Multiple-Choice Test Item

Refer to the table shown. Which county had the least percent of increase in population from 1990 to 2000?

County 1990 2000

Breckenridge 16,312 18,648

Bracken 7766 8279

Calloway 30,735 34,177

Fulton 8271 7752

A Breckinridge B BrackenC Calloway D Fulton

Obj. #1: Find percent of increase

Read the Test Item Percent of increase tells how much the population has increased in relation to 1990.

Solve the Test ItemUse a ratio to find each percent of increase. Then compare the percents.

Obj. #1: Find percent of increase

• Breckinridge

• Bracken

Obj. #1: Find percent of increase

• Calloway

• Fulton

Answer: Bracken County had the least percent of increase in population from 1990 to 2000. The answer is B.

Eliminate this choice because the population decreased.

Obj. #1: Find percent of increase

Obj. #1: Find percent of increase

Find the percent of change from 84 to 105.

Answer: The percent of change from 84 to 105 is 25%.

Obj. #1: Find percent of increase

Textbooks In 1990, the price of a textbook was $38. In 2000, the price of the same textbook was $81. Find the percent of change.

Answer: The percent of change was about 113%. In this case, the percent of change is a percent of increase.

Obj. #1: Find percent of increase

Multiple-Choice Test Item

The table shows test scores on the first two math tests of the semester for four students. Which student had the greatest percent of increase from test 1 to test 2?

A Holly B Ben C Sally D Max

Student Name Test 1 Score Test 2 Score

Holly 84 91

Ben 93 89

Sally 65 79

Max 73 98

Obj. #1: Find percent of increase

Answer: Max had the greatest percent of increase from test 1 to test 2. The answer is D.

Obj. #1: Find percent of increase

Clothing A $110 sweater is on sale for $88. What is the percent of change?

Step 2 Compare the amount of change to the original price.

Step 1 Subtract to find the amount of change.

Obj. #2: Find percent of decrease

Substitution.

Write the decimal as a percent.

Answer: The percent of change is –20%. In this case, the percent of change is a percent of decrease.

Obj. #2: Find percent of decrease

Obj. #2: Find percent of decrease

Shoes A $145 pair of tennis shoes is on sale for $105. What is the percent of change?

Answer: The percent of change is about –27.6%.

Obj. #2: Find percent of decrease