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Math 20 Homework
Ratio, Rate, and Proportion

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Recommended Textbook Homework Not Turned In for Chapter 5

Remember the Reading Check problems for each section.

Section 5.1 # 13, 19, 21, 25, 27, 35, 37, 39, 45, 51, 53

Section 5.2 # 1, 3, 7, 9, 11, 17, 21, 31, 39, 45, 47

Section 5.3 # 1, 5, 11, 25, 43, 47, 49, 67, 69

Section 5.4 # 5, 9, 12, 13, 19, 29, 31, 33

Also try the Translating for Success on page 314.

1. The Leaning Tower of Pisa is 184.5 feet tall and leans 13 feet from its base. What is the ratio of the distance it leans to its height?.

184.5 to 13 13 to 184.5 about 14.2

2. Simplify the ratio "4.8 to 6.4"

4.8 to 6.4 6.4 to 4.8 48 to 64 12 to 24 3 to 4 4 to 3 16

3. The area is 0.75 square miles. The population is 35,427 people. What is the unit rate of people per square mile?

47,236 people per square mile 26,570 people per square mile

4. Brand M soup weighs 54 ounces and costs $4.79. Brand T soup weighs 59 ounces and costs $5.99. Which is the better buy?

Brand M because it costs about 8 cents per ounce instead of 10 cents per ounce
Brand T because it costs about 8 cents per ounce instead of 10 cents per ounce
Brand M because it costs about 9 cents per ounce instead of 10 cents per ounce
Brand T because it costs about 9 cents per ounce instead of 10 cents per ounce

5. Is the ratio "2.4 to 3.6" proportional to the ratio "1.8 to 2.7"?

Yes No Undefined

6. Solve the proportion: "7 to 1/4" is proportional to "28 to what?"

1 4 7 28 112

7. The ratio of nickel to gold is "3 to 13". How much nickel is there when there are 4.16 ounces of gold?

0.96 ounces 1.04 ounces 18.02 ounces 162.24 ounces

8. Fifteen hours of studying before a test lets you score 75 points. At that rate, how many points would you expect from studying 18 hours?

78 points 90 points 93 points

9. Julia's car can drive 120 miles on 4.5 gallons of gas. While driving across the country the tank gets down to 0.9 gallons. How many miles are left, for her to find a gas station?

3 miles 24 miles 27 miles 116 miles 486 miles 540 miles

10. Typically 5 people produce 13 kilograms of garbage each day. How many kilograms of garbage are produced each day by the 346,560 people in Lane County?

65 kilograms 133,292 kilograms 901,056 kilograms 22,526,400 kilograms

11. In a class of 40 students, on average six will be left-handed. A certain class has nine left-handed students. How large would you estimate the class is if its proportion of left-handed students is average?

43 students 60 students 120 students

12. A certain dog medicine contains 3/7 of a gram of active ingredient in every 120 gram dose. For a small dog, how much active ingredient is in a 7 gram dose?

0.02 gram 0.03 gram 0.18 gram 5.7 grams 40 grams

13. A 25 pound turkey serves 18 people. How many pounds does each serving weigh?

0.72 pounds per serving 1.4 pounds per serving 4.5 pounds per serving

14. A 25 pound turkey serves 18 people. What is the unit rate of servings per pound?

0.72 servings per pound 1.4 servings per pound 4.5 servings per pound

15. To determine the number of deer in a game preserve, a forest ranger catches, tags, and releases 318 deer. Later he catches 168 deer and sees that 56 of them are tagged. Use a proportion to estimate the number of deer in the game preserve.

106 deer 954 deer 9,408 deer