Download Chapter 5 Ratio, Proportion, and Similar Figures

Chapter 5 Ratio, Proportion, and Similar Figures Lesson 5‐5 Proportional and Nonproportional Relationships Pages 208‐210 Determine whether the set of numbers in the table is proportional. If the 5
relationship is proportional, identify the constant of proportionality. Explain your reasoning. Shaded Squares 1 2
3
4
Total Squares 8 15
30
42
Write the rate of total squares to shaded squares for each hour in simplest form. 15 7.5
30 10
42 10.5
8
2 = 1 3 = 1 4 = 1 1 Since the rates are not equal, the number of total squares is not proportional to the number of shaded squares. 13
Eight hot dogs and ten hot dog buns come in separate packages. a. Is the number of packages of hot dogs proportional to the number of hot dogs? If the relationship is proportional, identify the constant of proportionality. Explain your reasoning. Yes; sample answer: Hot Dog Packages 1 2
3
4
Hot Dogs 8 16
24
32
8 16 24
32
In the table, the ratio of hot dogs to hot dog packages is 1, 2 , 3 , and 4 . Since these ratios all equal 8, the relationship is proportional. The constant of proportionality is 8. b. Suppose you buy the same number of packages of hot dogs and hot dog buns. Is the number of hot dogs proportional to the number of hot dog buns? If the relationship is proportional, identify the constant of proportionality. Explain your reasoning. Glencoe Math Accelerated Yes; sample answer: Hot Dogs 8 Hot Dog Buns 10 16
20
24
30
32
40
10 20 30
40
In the table, the ratio of hot dog buns to hot dogs is 8 , 16, 24, and 32. 5
Since these ratios all equal 4, the relationship is proportional. The constant 5
of proportionality is 4. Glencoe Math Accelerated