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Understanding Ratios, Rates, and Proportions in Real-Life Applications

This guide explores the concepts of ratios, rates, and proportions through practical examples. We analyze scenarios such as Oscar's batting average and Jason's pitching statistics to predict outcomes over extended periods. Additionally, we delve into the relationship between distance, time, and speed with hiking examples and similar figures in geometry. We also compare customary units of measure to identify better buying options while examining percentages, unit rates, and conversions. Learn how to apply these concepts effectively in various situations!

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Understanding Ratios, Rates, and Proportions in Real-Life Applications

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  1. Quarter 3 Test 3 XLIII. Ratios and Rates XLIV. Proportions XLV. Customary Units of Measure XLVI. Similar Figures

  2. Oscar gets 2 hits out of his every 5 times he comes up to bat. How many hits would you expect him to have in 60 at bats? 2x = 560 2(60)=5(x) 120=5x 5 5 x = 24 hits

  3. Jason averages 4 earned runs for every 9 innings he pitches. How many earned runs would he have if he pitched 45 innings? 4=x 9 45 4(45)=9(x) 180=9x 9 9 x = 20 earned runs

  4. In 1 hour Arthur hikes 3 miles. At the same rate, how long will it take him to hike 12 miles? 1 =x 3 12 1(12)=3(x) 12=3x 3 3 x = 4 hours

  5. The rectangles are similar. What is the length of n? 6cm 4cm 6cm n 6(6)=4(n) 36=4n 4 4 n = 9 4=6 6 n

  6. RST is similar to XYZ. What is the length of XY? S Y x 14m 10m 4m Z X 4m T R 10m 10(x)=14(4) 10x= 56 10 10 x = 5.6m 10=4 14 x

  7. Find the length of h. h 6cm 18cm 72cm h=6 72 18 18(h)=6(72) 18h=432 18 18 h = 24cm

  8. Compare. Write <,> or =. < < = > > < = • 52ft_______18yd • 5gal 2qt_______ 24qt • 72in_______6ft • 256oz______15lb 4oz • 36lb________524oz • 12T 850lb______25,000lb • 100qt______25gal

  9. Which is the Better Buy?Give the rate and the unit rate. 3 apples for $.75 or 9 apples for $2.10 $.75 =$.25 3 1 $2.10 = $.23 9 1 The 9 apples for $2.10 is a better buy.

  10. Customary Units of Measure • 3ft=_____ in. • 24yd=_____ft • 10,560ft=______mi • 4lb 15oz=______oz • 7pt=________c • 4.5T=_______lb • 4 3/4lb=_______oz 36in 72ft 2mi 79oz 14c 9000lb 76

  11. If 2 ½ inches on a map represents 750 miles, how many miles are represented by 4 inches? 2.5 = 4 750 x x = 1200 miles

  12. A mother giraffe is 18.7 feet tall. Her baby is 5.25 feet tall. The baby giraffe casts a shadow that is 35.7 feet long. How long is the mother giraffe’s shadow? height 18.7 = 5.25 shadow x 35.7 18.7(35.7) = 5.25 x 667.59 = 5.25 x 5.25 5.25 x = 127.16 ft

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