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Unit 3: Proportions in Action Homework PacketName:___________________________________________Class:____________________________________________Date Due:________________________________________Percent Proportions An average of 1253 tornadoes occur in the U.S. each year, and about 12.5% of them are in Texas. About how many tornadoes does Texas have each year?What percent of 25 is 12?25% of what number is 9?75% of 124 is what number?15 is what percent of 56?What number is 120% of 70?You are assigned 32 math exercises for homework. You complete 87.5% of these before dinner. How many do you have left to do after dinner?Of 140 seventh-graders, 15% earn the Presidential Physical Fitness Award. How many students earn the reward?A salesperson receives a 3% commission on sales. The sales person receives $180 in commission. What is the amount of sales?You put 60% of your paycheck in your savings account. Your paycheck is $235. How much do you put in your savings account?If 8 out of 20 students in a class are boys, what percent of the class is made up of girls?A baseball pitcher won 80% of the games he pitched. If he pitched 35 ballgames, how many games did he lose? Jerry, an electrician, worked 7 months out of the year. What percent of the year did he work? (Round answer to the nearest hundredth) Your friend earns $10.50 per hour. This is 125% of her hourly wage last year. How much did your friend earn per hour last year?Percent Increase/ DecreaseThe table shows the numbers of hours you spent online last weekend. What is the percent of change in your online time from Saturday to Sunday?DaysHours OnlineSaturday2 Sunday4.5Last week, you finished level 2 of a video game in 32 minutes. Today, you finished level 2 in 28 minutes. What was your percent of change?One week, 72 people got a speeding ticket. The next week, only 36 people got a speeding ticket. What is the percent change?Yesterday, it took 40 minutes to drive to school. Today, it took 32 minutes to drive to school. What is the percent of change?The population in 2007 was 118,000. The population in 2013 was 138,000. What was the percent change?Explain why a change from 20 to 40 is a 100% increase, but a change from 40 to 20 is a 50% decrease.6) A number increases by 10%, and then decreases by 10%. Will the result be greater than, less than, or equal to the original number? Explain.Percent ErrorYou estimate that the length of your classroom is 16 ft. the actual length is 21 feet. Find the percent error.You estimate that a baby pig weighs 20 pounds. The actual weight of the baby pig is 16 pounds. Find the percent error.You estimate that 200 people attend a school concert. The actual attendance was 240 people. Find the percent errorDescribe and correct the error in finding the percent increase from 18 to 26 26-1826≈0.31=31%Clyde Clumsy was directed to weigh a 500 g mass on the balance. After diligently goofing off for ten minutes, he quickly weighed the object and reported 458 g. What was his percent error?Henry Heavyfoot was just arrested for speeding by Officer O'Rourke for traveling 65 mph in a 55 mph zone. Henry claimed his speedometer said 55 mph not 65 mph. What could Henry claim as his percent error?Drew D. Dingaling came to Miraculous with a problem. Drew was told to measure 50 cm of copper wire to use in an experiment. Since his ruler only measured to 45 cm he used this amount of wire and his experiment was a failure. What was his percent error?MarkupA store pays $70 for a bicycle. The percent of markup is 20%. What is the selling price?A store pays $75 for an aquarium. The markup is 20%. What is the selling price?A store pays $50 for a backpack. The markup is 10%. What is the selling price?A store buys a stereo for $80. The markup is 60%. What is the selling price?A store buys a computer for $140. The markup is 25%. What is the selling price?You are shopping for a video game system. Which store should you buy the system?StoreCost to StoreMarkupA$16240%B$15530%C$16025%What would you rather pay? 30% markup on a $30 shirt, or $30 markup on a $30 shirt? Justify your answer.A store buys an item for $10. To earn a profit of $25, what percent does the store need to markup the item?DiscountThe original price of a pair of shorts is $35. If there is a tag that reads: 25% off, what is the discount amount? What is the sale price?The original price of a skateboard is $50. The sale price includes a 20% discount. What is the discount amount? What is the sale price?The original price of a bike is $170. The sale price includes a 15% discount. What is the discount amount? What is the sale price?The same pair of sneakers is on sale at three stores. Which is the best buy? Explain.a) Regular price: $45b) Regular price: $49c) Regular price: $39251460012065050%off50%off342900635040%off40%off42291005651570%off70%offThe complete set of One Tree Hill DVDs costs $149.99. The first 1,000 orders will receive a discount of 40% How much is the discount? What is the sale price?Why is 25% off the same as paying 75%? How can we prove this is true?You purchased an item marked 60% off, what percent of original price did you pay?You buy a shirt that is on sale for 30% off. You pay $22.40. Your friend wants to know the original price of the shirt. How can you find the original price? What is the original price?A $129.50 stereo is discounted 40%. The next month, the sale price is discounted 60%. Is the stereo now “free”? If not, what is the sale price?Sale TaxThe jersey has an original price of $110. The sales tax rate is 7.5%. How much do you pay in sales tax? What is the total price including tax?You go shopping at your favorite store. The total cost of items before tax is $52.60. The sales tax is 8%. How much do you pay in sales tax? What is the total price including tax?A shirt costs $34. Sales tax is 6%. What is the tax amount? What is the total price?A jacket is on sale for 25% off. If the original cost is $116 and sales tax is 8.75%. What is the total cost of the jacket including the discount and tax? The paperback book costs $12.50. Sales tax is 13%. What is the amount of tax? What is the total cost including tax?The Magic Box is offering a 15% discount on all items over $100. A wooden rocking horse at the store has a regular price of $140. The sales tax rate is 9% What is the total cost including the discount and tax.Look at the advertisement belowStore AStore BSALE SALE50% off all DVD playersSALE SALEDVD BLOWOUT SALE30% off all DVD playersOne day special: Take an additional 20% off any sale priceThe original price of a DVD player is $110 at both stores.What is the sale price of the DVD player at store A? What is the sale price of the DVD player at store B without the one say special?Store B is having a one-day special – an additional 20% off any sale price. Will the final sale price of the DVD player be the same at both stores? Explain.If sales tax on an item is 6%, is the total price 106% of the item’s price before tax? Show work to help explain your answerA store is advertising a 10% discount on all items. Andy and Patrick are discussing how to find the sale price. Andy says the sale price is 90% the original price. Patrick says the sale price is the original price minus the 10% discount. Are they both correct? Explain.TipAfter eating at a restaurant, Mr. Madison’s bill before tax is $65.50. The sales tax rate is 6%. Mr. Madison decides to leave a 10% tip for the waiter based on the pre-tax amount. How much is the tip that Mr. Madison leaves for the waiter? How much will the total bill be, including tax and tip? Mrs. Noah’s bill, before tax, is $50. The sales tax rate is 3%. Mrs. Noah decides to leave a 2% tip for the gatekeeper based on the pre-tax amount. How much is the tip that Mrs. Noah gives? How much will the total bill be, including tax and tip? Mr. Paul pays the parking bill before tax at a cost of $33.20. The parking tax rate is 2%. Mr. Paul decides to leave a 5% tip for the parking guard based on the pre-tax amount. How much will the total bill be?After eating lunch at Applebee’s, the cost of the two meals together is $35. If you want to leave the waiter a 20% tip, how much money should you leave as a tip? Tom’s bill at a restaurant was $29.15. He plans to leave a 15% tip for the waiter. How much tip should he leave the waiter? Mr. Messina goes on a jet skiing tour while on vacation. The company charges $199 and 6.25% in tax. After the tour, he gives the instructor a 15% tip on his debit card. How much did the whole excursion cost? You and a friend go out for dinner and spend $77.16. You want to leave a 15% tip. Your friend tells to leave $20. Is he right?CommissionMs. Pickford works at Game Stop in her spare time. She earns an 8% commission for all sales. She sold $1500 in the month of November. How much does she earn?If Ms. Pickford makes $300 per week base plus commission, how much did she earn in November?Eric gets a 7% commission for each electronics item he sells. If he sells $3000 worth of electronics, how much commission does he make? Your Uncle is having a garage sale and asks you to come work it for him. He offers a deal for 3% of whatever you can sell. If you sold two TVs for $60 each and a blow dryer for $12, how much commission do you make? Aaron, a car salesman at KIA, makes 4% commission on all sales. He sells 5 cars for $15,000 each. What was his total commission on his sales? Ken sells ovens at Lowes. He earns 5.6% commission on each oven sold. Today, he sold an oven for $1190. How much commission did he earn? 3657600167005Scale Factor1) Thomas has a scale model of his car. Thescale factor is 1 : 12. If the actual car has16-inch wheels, what size are the wheels on the scale model?3543300488952) An architect created the scale drawing below showing a wall of a child’s playhouse. If the scale of the drawing is 1 in = 6 ft, what is the actual width of the playhouse?41148001473203) The house shown below was drawn using a scale of 2 in = 5 ft. What is the actual height of the house?4) What is the scale factor in problem #3?On a scale drawing, the scale is 12 inch = 1 foot. What are the dimensions on the scale drawing for a room that is 22 feet by 17 feet?On a scale drawing, the scale is 14 inch = 1 foot. What are the dimensions on the scale drawing for a room that is 15 feet by 16 feet?On a blueprint, a guest bedroom has dimensions 3 cm by 5 cm. If the blueprint is drawn using the scale of ? cm = 2 ft., what is the actual AREA of the guest bedroom?What is the perimeter of the guest bedroom mentioned in #8? On a map, ? cm equals 65 km. If China and New Sweden are 4.5 cm apart on the map how far apart are they really? The floor plan of a house is drawn using a scale of 23 in = 8 ft. What is the length of the basement if it is 2.5 inches long on the floor plan?Simple Interest1) Your generous uncle gives you $500 for earning straight A’s throughout middle school. You deposit the money in a savings account. The account earns 3% simple interest. What is the interest earned after 4 years?What is the balance after 4 years?2) You put $1800 in a savings account. The account earns 6.5% simple interest per year. What is the interest earned after 12 years?What is the balance after 12 years?3) You borrow $250 from a payday lender. The simple interest rate is 36%. You pay the loan off in 1 year.How much do you pay in interest for the loan?How much do you pay for the loan?4) You put $1675 in a savings account. The account earns 4.6% simple interest.What is the interest earned after 4 years?What is the balance after 4 years?5) You put $925 in a savings account. The account earns 2% simple interest.What is the interest earned after 2.4 years?What is the balance after 2.4 years?6) Describe the error in finding the simple interest earned of $400 at 3% for 24 months.I=400×0.03×24=$288 What is the correct amount of interest earned?7) You put $2400 in a savings account. The account earns 2% simple interest.What is the interest earned after 16 months?What is the balance after 16 months?8) You put $5200 in a savings account. The account earns 7.36% simple interest.What is the interest earned after 42 months?What is the balance after 42 months?9) You put $400 in a savings account. The account earns $24 simple interest in 2 years. What is the annual interest rate?10) You put $500 in a savings account with a simple interest rate of 3%. How long did it take you to earn $30 interest? ................
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