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# 7.5 percent of increase

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### 7.5 percent of increase

1. 1. Lesson 7.5 , For use with pages 366-369 Use a percent proportion. 1. 48 is what percent of 320 ? 2. What number is 30% of 80 ?
2. 2. Lesson 7.5 , For use with pages 366-369 Use a percent proportion. 1. 48 is what percent of 320 ? 2. What number is 30% of 80 ? ANSWER 15% ANSWER 24
3. 3. Percent of Increase 7.5 Applications of Percents Real Life Situations
4. 4. <ul><li>Is a discount of 30% off the original price, followed by a discount of 50% off the sale price, the same as a discount of 80% from the original price? </li></ul>
5. 5. Essential Questions <ul><li>What are different situations percents are used in real life? </li></ul><ul><li>As a consumer, why is it important for you to know about percents? </li></ul><ul><li>How important is it to be able to understand the relationship between fractions and percents? Why? </li></ul>
6. 6. Percent of Increase <ul><li>A “markup” from wholesale to resale or “retail” pricing. </li></ul><ul><ul><li>Wholesale: The price a company pays for items. </li></ul></ul><ul><ul><li>Retail: the price you pay for items. </li></ul></ul><ul><li>A percent representing an increase in something </li></ul>
7. 7. Percent of Increase <ul><li>Most of the time our setup will be: </li></ul>
8. 8. Percent of Increase <ul><li>Old: \$250 </li></ul><ul><li>New: \$300 </li></ul><ul><li>What is the “amount of increase”? </li></ul><ul><li>What is the “original” amount (before the change)? </li></ul><ul><li>Set up: x will equal the Percent of Increase </li></ul>x = 20% 250x 50( 100) = 250x 5,000 = 250 250
9. 9. Percent of Increase <ul><li>The cost of a bus ride increased from \$20 to \$26. What is the percent of increase? </li></ul>x = 30% 6 20 = x 100 20x 6( 100) = 20x 600 = 20 20
10. 10. Percent of Increase <ul><li>The bike shop purchased mountain bikes at the wholesale price of \$434.69 each and sold them at the retail price of \$630.30. What was the percent of increase? </li></ul><ul><li>Round to the nearest whole percent. </li></ul>x = 45% 195.61 434.69 = x 100 434.69x 195.61( 100) = 434.69x 19,561 = 434.69 434.69
11. 11. Percent of Increase <ul><li>Lincoln Middle School’s enrollment increased 75 students over last year’s enrollment. This was a 15% increase. What was last year’s enrollment? </li></ul>x = 500 students 75 x = 15 100 15x 75( 100) = 15x 7,500 = 15 15
12. 12. Percent of Increase <ul><li>Because of a new subdivision, the enrollment at Marion’s Elementary increased to 385 students, about a 20% increase. What was last year’s enrollment? </li></ul>x = 320.8 students 385 x = 120 100 120x 385( 100) = 120x 38,500 = 120 120
13. 13. Percent of Increase <ul><li>#10 from the worksheet: </li></ul><ul><li>Find the total cost of a \$22 toaster whose price is increased 18%. </li></ul>x = \$3.96 x = \$25.96 \$3.96 + 22 = \$25.95 x 22 = 18 100 100x 18( 22) = 100x 396 = 100 100 x 22 = 118 100 100x 22( 118) = 100x 2,596 = 100 100
14. 14. <ul><li>Assignment: </li></ul><ul><li>Percent of Increase Worksheet #1-10 </li></ul><ul><ul><li>Numbers 12-16 can be done for extra credit </li></ul></ul><ul><ul><li>Your assignment will be graded as follows: </li></ul></ul><ul><ul><ul><li>1 point for your proportion </li></ul></ul></ul><ul><ul><ul><li>1 point for your answer </li></ul></ul></ul>