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Section 6.4

Section 6.4. Applications of Proportions and Similar Figures. Topics Covered. Applications of Proportions Similar Figures. Application #1. Didi takes her pulse for 10 sec and counts 13 beats. How many beats per minute is that?. Application #2.

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Section 6.4

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  1. Section 6.4 Applications of Proportions and Similar Figures

  2. Topics Covered • Applications of Proportions • Similar Figures

  3. Application #1 Didi takes her pulse for 10 sec and counts 13 beats. How many beats per minute is that?

  4. Application #2 Suppose two adults produce 63.4 lb of garbage in one week. At this rate, how many pounds will 50 adults produce in one week?

  5. Application #3 On a map, the distance from Nashville, Tennessee, to Atlanta, Georgia, is 3.5 in. and the actual distance is 210 mi. If the map distance between Dallas, Texas, and Little Rock, Arkansas, is 4.75 in., what is the actual distance?

  6. Application #4 Pam drives her Toyota Prius 244 mi in city driving on 4 gal. of gas. At this rate how many miles can she drive on 10 gal. of gas?

  7. Application #5 To cement a garden path, it takes crushed rock and cement in a ratio of 3.25 kg of rock to 1 kg of cement. If a 24 kg-bag of cement is purchased, how much crushed rock will be needed?

  8. Application #6 On a map, the distance from Sacramento, California, to San Francisco, California, is 8 cm. The legend gives the actual distance at 91 mi. On the same map, Faythe measured 7 cm from Sacramento to Modesto, California. What is the actual distance? (Round to the nearest mile.)

  9. Application #7 At Central Community College, the ratio of female students to male students is 31 to 19. If there are 6200 female students, how many male students are there?

  10. Application #8 If you flip a coin many times, the coin should come up heads about 1 time out of every 2 times it is flipped. If a coin is flipped 630 times, about how many heads do you expect to come up?

  11. Application #9 A pitcher gave up 42 earned runs in 126 innings. Approximately how many earned runs will he give up in one game (9 innings)? This value is called the earned run average.

  12. Application #10 Evelyn won an election by a ratio of 6 to 5. If she received 7230 votes, how many votes did her opponent receive?

  13. Application #11 A die is a small cube used in games of chance. It has six sides, and each side has 1,2,3,4,5, or 6 dots painted on it. If you roll a die, the number 4 should come up about 1 time out of every 6 times the die is rolled. If you roll a die 366 times, about how many times do you expect the number 4 to come up?

  14. Application #12 In one game Peyton Manning completed 34 passes for 357 yd. At this rate how many yards would be gained for 22 passes?

  15. Application #13 Each gram of fat consumed has 9 calories. If a ½ cup serving of gelato has 81 calories from fat, how many grams of fat are in this serving?

  16. Application #14 Park officials stocked a man-made lake with bass last year. To approximate the number of bass this year, a sample of 75 bass is taken out of the lake and tagged. Then later a different sample is taken, and it is found that 21 of 100 bass are tagged. Approximately how many bass are in the lake? Round to the nearest whole unit.

  17. Application #9 Yellowstone National Park in Wyoming has the largest population of free-roaming bison. To approximate the number of bison, 200 are captured and tagged and then let free to roam. Later, a sample of 120 bison is observed and 6 have tags. Approximate the population of bison in the park.

  18. Similar Figures #1 The pairs of triangles is similar. Solve for x and y 15 m 9 m y 3 m x 4 m

  19. Similar Figures #2 A 15-ft flagpole casts a 4-ft shadow. How long will the shadow be for a 90-ft building?

  20. Similar Figure #3 A 32-ft tree casts a shadow of 18 ft. How long will the shadow be for a 22-ft tree?

  21. Similar Figure #4 The pairs of polygons are similar. Solve for the indicated variables. y 4 m 6 m 8 m 3 m x

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