M1T3: Proportional Relationships - Skills Practice

Determine whether the relationship between the two data sets in each is proportional. 1. Data Set One: 5, 30 Data Set Two: 3, 18 Is the relationship proportional?

• Yes, the relationship is proportional because 5/3 = 30/18. 5(18) = (3)(30), 90 = 90.

• No, the relationship is not proportional.

Determine whether the relationship between the two data sets in each is proportional. 2. Data Set One: 25, 45 Data Set Two: 35, 50 Is the relationship proportional?

• Yes, the relationship is proportional.

• No, the relationship is not proportional because 25/35 ≠ 45/50. 25(50) ≠ (35)(45), 1250 ≠ 1575.

Determine whether the relationship between the two data sets in each is proportional. 3. Data Set One: 18, 28 Data Set Two: 45, 70 Is the relationship proportional?

• Yes, the relationship is proportional because 18/45 = 28/70. 18(70) = (45)(28), 1260 = 1260.

• No, the relationship is not proportional.

Determine whether the relationship between the two data sets in each is proportional. 4. Data Set One: 279, 434 Data Set Two: 45, 70 Is the relationship proportional?

• Yes, the relationship is proportional because 279/45 = 434/70. 279(70) = (45)(434), 19,530 = 19,530.

• No, the relationship is not proportional.

Given the following data sets: Data Set One: 7, 11 Data Set Two: 18, 26 Is the relationship proportional? Explain why or why not.

• The relationship is not proportional because 7/18 ≠ 11/26. 7(26) ≠ (18)11, 182 ≠ 198.

• The relationship is proportional because both data sets increase by the same amount.

• The relationship is proportional because 7/18 = 11/26.

• The relationship is not proportional because the numbers are not multiples of each other.

Given the following data sets: Data Set One: 33, 110 Data Set Two: 4, 13 Is the relationship proportional? Explain why or why not.

• The relationship is not proportional because 33/4 ≠ 110/13. 33(13) ≠ (4)110, 429 ≠ 440.

• The relationship is proportional because 33/4 = 110/13.

• The relationship is proportional because both data sets increase by the same amount.

• The relationship is not proportional because the numbers are not multiples of each other.

Given the following data sets: Data Set One: 8, 44 Data Set Two: 6, 33 Is the relationship proportional? Explain why or why not.

• The relationship is proportional because 8/6 = 44/33. 8(33) = (6)44, 264 = 264.

• The relationship is not proportional because 8/6 ≠ 44/33.

• The relationship is not proportional because the products are not equal.

• The relationship is proportional because both data sets have even numbers.

Given the following data sets: Data Set One: 15, 20 Data Set Two: 108, 144 Is the relationship proportional? Explain why or why not.

• The relationship is proportional because 15/108 = 20/144. 15(144) = (108)20, 2160 = 2160.

• The relationship is not proportional because 15/108 ≠ 20/144. 15(144) ≠ (108)20.

• The relationship is proportional because the numbers are both even.

• The relationship is not proportional because the numbers are not multiples of each other.

For the following problem situation: Luna makes $12 per hour at her job. Complete the table of values: Hours Worked: 2, 3, 5, 10, 15, 20. Pay (dollars): 24, 36, 60, 120, 180, 240. Complete the graph or identify the graph that matches the scenario in the table. Determine whether the situation is linear or non-linear.

• Linear

• Non-linear

For the following problem situation: Luna makes $12 per hour at her job. Complete the table of values: Hours Worked: 2, 3, 5, 10, 15, 20. Pay (dollars): 24, 36, 60, 120, 180, 240. Complete the graph or identify the graph that matches the scenario in the table. Determine whether the situation is proportional or not proportional.

• Proportional

• Not proportional