Percent of Change. 1. What is 20% of 70? 2. What percent of 24 is 18? 3. 32 is 10% of what number?

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Presentation transcript:

Percent of Change

1. What is 20% of 70? 2. What percent of 24 is 18? is 10% of what number?

 Percent of Change : The percent a quantity increases or decreases compared to the original amount.  Increase: Goes up, gets bigger, gets larger, grows, more  Decrease: Goes down, gets smaller, shrinks, less Amount of change: Start minus finish

 Try this on your calculator 18 – 10 = 8 Went down 8 10 – 18 = – 8 Went up 8 You can tell if they went up or down without a calculator, so just ignore the negative & use 8 either way.

Ignore negatives or use absolute value! The amount of change is the absolute value of the difference between the new amount and the original amount.

Example 1 Find the % of change from $10 to $18 = ? – 10 Solve: = 80 Going from $10 to $18 is an 80% increase

Example 2 Find the percent of decrease from 25 to 21 Example 1 = ? – 21 Solve: = 16 Going from 25 to 21 is a 16% decrease

Identify the percent of change as an increase or a decrease. Find the percent of change. Round percents to the nearest tenth if necessary to to to 6

Find the percent of decrease from 25 to 21.  Calculate the amount of decrease. 25 – 21 = 4  Calculate the percent of decrease.  The percent of decrease from 25 to 21 is 16%.

Last year 2300 people attended a Fourth of July parade at the beach. This year the number of people increased by 8%. Find the number of people who attended the parade this year.  Use the percent of change equation.  Write the percent as a decimal.  Multiply both sides by = x  There were 184 more people this year.  Add to last year’s number for total = 2484  There were 2,484 people at the parade this year.

Do you think there has been a percent increase or a percent decrease in the total number of students in your school compared to ten years ago? Why?

Targets: Find the percent of increase or the percent of decrease between two numbers. Use percent of change to find new values.

Find the percent of increase from 10 to 18.  Calculate the amount of increase. 18 – 10 = 8  Calculate the percent of increase.  The percent of increase from 10 to 18 is 80%. Example 1

In 1999, Hernandez paid $2,000 for a new laptop computer. In 2007, Hernandez paid 60% less for a laptop computer than he had in Find the amount he paid in  Use the percent of change equation.  Write the percent as a decimal.  Multiply both sides by 2, = x  Hernandez paid $1,200 less in 2007 than in  Subtract 1200 from the value in – 1200 = 800  Hernandez paid $800 for a laptop computer in 2007.