Name ______ Period _____ Percent of Change

Name ______ Period _____ Percent of Change

<p>Name ______Period _____ Percent of Change LEDOUX 1. We can use PERCENTS to describe the amount of change in a quantity over time. Consider this:</p><p> Last year, Denim Dudes sold a pair of jeans for $30. This year, the price of the same jeans was raised to $37.50. The cost of the jeans was changed by what percent?</p><p> There is a very specific way to calculate percent of change. Let’s learn how to do this – then we’ll come back and solve this problem. </p><p>2. FORMULA: Percent of Change = Difference Original</p><p>3. What does the formula mean?  The original amount is the number you had when you started.  Subtract the two amounts – that’s the difference  Write a ratio that compares Difference to Original. Fraction form works best.  Enter the ratio as a fraction into your calculator OR enter it as a division problem.  Change the answer to a percent. (Either move decimal point to the left 2 places OR multiply by 100)  Round answers to the nearest percent. Use standard rounding rules.  Be sure to put a % on your answer!</p><p>4. Let’s go back to the Denim Dudes problem from above. Last year, Denim Dudes sold a pair of jeans for $30. This year, the price of the same jeans was raised to $37.50. The cost of the jeans was changed by what percent?</p><p> Original price ______ New price ______ Difference ______ Divide difference by original = ______ Change to a percent = ______* round to the nearest % if needed*  Did the price increase or decrease? ______</p><p>5. Do I REALLY have to write all those steps? ……. ______Here’s what you must write for every percent of change problem:  Write the FORMULA (difference over original) and show your substitution.  Write the percent. (That means do the calculation and put the % after the number.)  Tell if the change was an increase or decrease.</p><p>So that means in #4 above you could have just written: Practice problems. Find the percent of change. Round answers to the nearest percent and state whether the change was an increase or decrease. I encourage you to use a separate piece of paper to do this work.</p><p>6. The temperature dropped from 105○ to 88○. </p><p>7. The price of a pair of sneakers is marked down from $44.99 to $35.00</p><p>8. Jake’s bowling average went from 145 to 172.</p><p>9. In the past five years, the price of a cheeseburger went from $0.72 to $0.80.</p><p>10. Michael’s time in the 400-meter dash went from 71 second to 62 seconds.</p><p>11. The cost for a child movie ticket went from $4.50 to $4.75.</p><p>12. Keith bought a new tent that had a sale price of $20.74. The original price of the tent was $82.99. </p><p>13. The Fine Furniture Company paid $325 for a kitchen table and chairs. They sold the table and chairs for $650.</p><p>14. A graphing calculator was $60 last year and is now $63.</p><p>15. The number of camera club members was 27 last year. This year it is 20.</p><p>16. Yesterday, the parents sold 10 tickets to the swimming party. Today they sold 20 tickets.</p><p>17. Betty sold 20 boxes of Girl Scout cookies last week. This week she sold 10 boxes.</p><p>18. Andy wanted to sell his baseball card collection for $230. He changed the price to $250 when he got lots of offers on his collection.</p><p>19. Sarah wanted to sell her Gameboy and all of her games for $180. No one offered to buy them, so she changed the price to $140.</p><p>20. For the recycling project, the Bernhardt’s collected 25 pounds of newspapers last year. This year they have collected 18 pounds of newspapers.</p>

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