example 1 finding a percent of decrease during the summer, a bear’s heart rate is about 60 beats...

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EXAMPLE 1 Finding a Percent of Decrease During the summer, a bear’s heart rate is about 60 beats per minute, but it can drop to as low as 8 beats per minute during the winter. What is the percent of change in a bear’s heart rate from the summer rate to the winter low rate? Bears SOLUTION To find the percent of decrease, use the percent of change equation.

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Page 1: EXAMPLE 1 Finding a Percent of Decrease During the summer, a bear’s heart rate is about 60 beats per minute, but it can drop to as low as 8 beats per minute

EXAMPLE 1 Finding a Percent of Decrease

During the summer, a bear’s heart rate is about 60 beats per minute, but it can drop to as low as 8 beats per minute during the winter. What is the percent of change in a bear’s heart rate from the summer rate to the winter low rate?

Bears

SOLUTION

To find the percent of decrease, use the percent of change equation.

Page 2: EXAMPLE 1 Finding a Percent of Decrease During the summer, a bear’s heart rate is about 60 beats per minute, but it can drop to as low as 8 beats per minute

EXAMPLE 1 Finding a Percent of Decrease

p% = 60 – 860

=5260

= 0.86_

86.67%

Write amount of decrease and divide by original amount.

Subtract.

Write fraction as a decimal.

Write decimal as a percent.

The percent of decrease is about 86.7%.

ANSWER

Page 3: EXAMPLE 1 Finding a Percent of Decrease During the summer, a bear’s heart rate is about 60 beats per minute, but it can drop to as low as 8 beats per minute

EXAMPLE 2 Finding a Percent of Increase

A school had 825 students enrolled last year. This year, 870 students are enrolled. Find the percent of increase to the nearest tenth.

School Enrollment

SOLUTION

p% = 870 – 825825

= 82545

5.45%

Write amount of increase and divide by original amount.

Subtract.

Write fraction as a decimal.

Write decimal as a percent.

= 0.0545__

Page 4: EXAMPLE 1 Finding a Percent of Decrease During the summer, a bear’s heart rate is about 60 beats per minute, but it can drop to as low as 8 beats per minute

EXAMPLE 2 Finding a Percent of Increase

The percent of increase is about 5.5%.

ANSWER

Page 5: EXAMPLE 1 Finding a Percent of Decrease During the summer, a bear’s heart rate is about 60 beats per minute, but it can drop to as low as 8 beats per minute

EXAMPLE 3 Using Percent of Increase

From October to November one year, attendance at Everglades National Park increased about 27.4%. There were 59,084 visitors in October. To the nearest hundred, how many people visited in November?

National Parks

SOLUTION

STEP 1 Find the increase.

Increase = 27.4% of 59,084

= 0.274( 59,084)

16,189

Write 27.4% as a decimal.

Multiply.

Page 6: EXAMPLE 1 Finding a Percent of Decrease During the summer, a bear’s heart rate is about 60 beats per minute, but it can drop to as low as 8 beats per minute

EXAMPLE 3 Using Percent of Increase

STEP 2 Add the increase to the original amount.

New Amount 59,084 16,189 75,273+ =

ANSWER

About 75,300 people visited the park in November.

Page 7: EXAMPLE 1 Finding a Percent of Decrease During the summer, a bear’s heart rate is about 60 beats per minute, but it can drop to as low as 8 beats per minute

GUIDED PRACTICE for Examples 1, 2 and 3

Tell whether the change is an increase or decrease. Then find the percent of change. Round to the nearest percent.

1. Original at = 50New amt = 36

28%=

The change is a decrease since the new amount is less than the original amount

ANSWER

Page 8: EXAMPLE 1 Finding a Percent of Decrease During the summer, a bear’s heart rate is about 60 beats per minute, but it can drop to as low as 8 beats per minute

2. Original amt = 10New amt = 29.5

195%=

GUIDED PRACTICE for Examples 1, 2 and 3

The change is an increase since the new amount is greater than the original amount

ANSWER

Page 9: EXAMPLE 1 Finding a Percent of Decrease During the summer, a bear’s heart rate is about 60 beats per minute, but it can drop to as low as 8 beats per minute

3. Original amt = 90New amt = 110

22%=

GUIDED PRACTICE for Examples 1, 2 and 3

The change is an increase since the new amount is greater than the original amount

ANSWER

Page 10: EXAMPLE 1 Finding a Percent of Decrease During the summer, a bear’s heart rate is about 60 beats per minute, but it can drop to as low as 8 beats per minute

GUIDED PRACTICE for Examples 1, 2 and 3

What If? In Example 3, suppose the attendance decreased by about 11%. Approximate, to the nearest thousand, the attendance in November

4.

ANSWER

About 53,000 people visited the park in November.