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Unit 3, Lesson 4: Proportional Relationships in Tables & Graphs

Unit 3, Lesson 4: Proportional Relationships in Tables & Graphs. You can determine if a relationship is proportional by looking at a table of values or the graph . Recall that proportions are equivalent ratios. Ratios are proportional if they are equivalent. Table

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Unit 3, Lesson 4: Proportional Relationships in Tables & Graphs

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  1. Unit 3, Lesson 4: Proportional Relationships in Tables & Graphs

  2. You can determine if a relationship is proportional by looking at a table of values or the graph. Recall that proportions are equivalent ratios. Ratios are proportional if they are equivalent. Table If all the ratios of numbers in the table are equivalent, the relationship is proportional. Graph If the graph of the numbers forms a straight line through the origin (0,0), the relationship is proportional.

  3. Example 1 On a field trip, every chaperone is assigned 12 students. Is the student to chaperone ratio proportional? If you use a table to demonstrate, you would need several ratios to start. Next, find the simplified ratios and compare them. Are they the same?

  4. Example 2: The local pizza place sells a plain pie for $10. Each topping costs an additional $1.50. Is the cost of pizza proportional to the number of toppings purchased?

  5. Is the relationship shown in the table proportional? Yes No

  6. Is the relationship shown in the table proportional? Yes No

  7. Remember: Table If all the ratios of numbers in the table are equivalent, the relationship is proportional. Graph If the graph of the numbers forms a straight line through the origin (0,0), the relationship is proportional.

  8. Example 3 On a field trip, every chaperone is assigned 12 students. Is the student to chaperone ratio proportional? Connected points form a straight line 60 54 Students 48 These are the ratios we put in the t-chart in Ex. 1 42 36 Line crosses through the origin 30 24 18 12 6 0 1 2 3 4 5 6 7 8 9 10 Chaperones

  9. Is the relationship shown in the graph proportional? 50 Yes 45 No 40 Salary ($) 35 30 25 20 15 10 5 0 1 2 3 4 5 6 7 8 9 10 Hours

  10. Is the relationship shown in the graph proportional? Yes No 50 45 Cost ($) 40 35 30 25 20 15 10 5 0 1 2 3 4 5 6 7 8 9 10 Toppings

  11. Is the relationship shown in the graph proportional? 5 4.5 Yes 4 No Seconds 3.5 3 2.5 2 1.5 1 0.5 0 1 2 3 4 5 6 7 8 9 10 Feet

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