<p>Unit 2: Ratios/Proportions Homework Packet</p><p>Name:______</p><p>Class:______</p><p>Date Due:______</p><p>Write the ratio as a fraction in simplest form 1) 25 to 45 2) 63 : 28 3) 35 girls : 15 boys 4) 51 correct : 9 incorrect 5) 16 dogs to 12 cats 6) Solving Proportions 1) 1) It costs $68 for 16 square feet of flooring. How much does it cost for 12 square feet of flooring? 2) An oil spill spreads 25 square meters every hour. How much area does the oil spill cover after 2 hours?</p><p>3) 5) 4) 6) There are 180 white lockers in the school. There are 3 white lockers for every 5 blue lockers. How many lockers are in the school? 7) Tell whether the two ratios form a proportion a) On the first day, you pay $5 for 2 boxes of popcorn. The next day, you pay $7.50 for 3 boxes b) On the first day, it takes you hours to drive 175 miles. The next day, it takes you 5 hours to drive 200 miles. c) On the first day, you walk 4 miles and burn 300 calories. The next day, you walk miles and burn 250 calories d) On the first day you paint 150 square feet in hours. The next day, you paint 200 square feet in 4 hours. e) You pay $184 for two tickets to a concert, and $266 for three tickets to the same concert. f) You get 75 points for answering 15 questions correctly. I get 70 points for answering 14 questions correctly. g) You trade 24 football cards for 15 baseball cards. I trade 20 football cards for 32 baseball cards. h) You swim your first 4 laps in 2.4 minutes. You complete 16 laps in 12 minutes. i) k) j) 2 to 4, 11 to l) 3 medium pizzas cost $10.50. How much does it cost for 10 pizzas? m) Find the unit rate 1) 180 miles in 3 hours 2) 256 miles per 8 gallons 3) $9.60 for 4 pounds 4) $4.80 for 6 cans 5) 297 words in 5.5 minutes 6)</p><p>2 7) At 1:00 PM, you have 24 megabytes of a movie. At 1:15 PM, you have 96 megabytes. What is the download rate in megabytes per minute? 8) In 2007, the US population was 302 million people. In 2012, it was 314 million. What is the rate of population change per year? 9) A painter can paint 350 square feet in 1.25 hours. What is the painting rate in square feet per hour? 10)The graph shows the cost of buying tickets to a concert. **** a) What does the point (4,122) represent? b) What is the unit rate? c) What is the cost of buying 10 tickets? 11)A sports store sells three different packs of tennis balls. Which pack is the best buy? Explain. a) 4 sleeves for $11.49 b) 6 sleeves for $16.79 c) 9 sleeves for $22.99 12)Your friend’s heart beats 18 times in 15 seconds when at rest. While running, your friend’s heart beats 25 times in 10 seconds. a) Find the heart rate in beats per minute at rest and while running b) How many more times does your friend’s heart beat in 3 minutes while running than while at rest? 13)You and your friend start hiking towards each other from opposite ends of a 17.5- mile-hiking trail. You hike mile every hour. Your friend hikes miles per hour. a) Who hikes faster? How much faster? b) After how many hours do you meet? n) o) Use the ratio table to find the unit rates 1) Servings per package p r) s) u) w) ) 2 t) v) Y x)</p><p> q)</p><p> y z) ab) ad) af) ) ae) F aa) ac)</p><p> ag) ah) a ak) al) an) ap) i 3 a ao) aq ) m) )</p><p>3 P</p><p> aj)</p><p> a as) au) aw) ay) r av 40.5az) ) at) ) ax) S</p><p> ba) bb) bc) bd) be)</p><p> bf) bg) bh) bi) bj)</p><p> bk) bl) bm) bn) bo) 6</p><p> bp)br) bs) bt) bu) 10.5 21 31.5 42</p><p> bq) bv) bw) bx) by) bz) ca) The table shows nutritional information for three beverages. a) Which has the most calories per fluid ounce? b) Which has the least sodium per fluid ounce? cb) cc) cd) ce) cf) cg) ch) ci) Beve ck) Ser cl) Ca cm) S rage ving Size lories odium cj)</p><p>4 cn) Whol cq) 1c ct) 14 cw) 9 e Milk cr) 1 pt 6 8 mg co) Oran cs) 24 cu) 21 cx) 1 ge Juice fl oz 0 0 mg cp) Appl cv) 35 cy) 2 e Juice 1 1 mg cz) da) db)Graphing Proportional Relationships dc)Use a graph to tell whether x and y are in a proportional relationship dd)x de)1 d dg) f) 2 dh)y di) 2 d dk) j) 4 dl) x dm) 1 dn)3 do) dq)y dr) 0.5 ds) 1.5 dt) dv)Aluminum dw) 10 dx)20 dy) (lb) ea) Profit eb)$4.50 ec) $9.00 ed)</p><p> ef) Minutes eg) 500 eh)700 ei)</p><p> ek)Cost el) $40 em) $50 en)</p><p> ep) eq) er) es) et) eu) ev) ew) ex) ey) ez) fa) fb) fc) fd) fe) ff) fg) fh) fi) fj) fk) fl) fm) fn) fo) fp) y</p><p>5 fq) fr) fs) ft) fu) fv) fw)The variables x and y form a proportional relationship. Use the values to find the constant of proportionality. Then write an equation that relates to x and y fx) fy) 1) y = 72; x = 3 2) y = 20; x = 12 3) y = 45; x = 40 fz) ga) gb) gc) gd) ge)</p><p>6 gf) gg) gh) gi) gj) gk) gl) gm) gn) go) gp) gq) gr) gs) gt) gu) gv) gw) gx) gy) gz) ha) hb)Currency Conversion hc) Instructions: Use the exchange rates in the table to help you solve the word problems. hd)</p><p> he) 1. Charlotte earned ₤100 for dog walking. The new bodyboard she wants to buy costs $120 AUD. After her purchase, how much money will she have left in British pounds? 2. Jack lives in Ottawa, Ontario, Canada. His uncle lives in London, England. For his birthday, Jack received ₤20 from his uncle. How many Canadian dollars can he buy with his birthday money? </p><p>7 3. Olivia lives in Sydney, Australia. Her grandmother lives in Paris, France. For Christmas, she received €40 from her grandmother. How many Australian dollars can she buy with her Christmas money? 4. William has $11 USD. The video game he wants to buy costs $10 AUD. Does he have enough money to buy the game? If not, how much more US money does he need? 5. Sophie has €35. She wants to purchase jeans for $25 CAD and a tee shirt for $15 CAD. After her purchases, how many euro will she have left? (Round to the nearest euro.) hf)</p><p>8</p>