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Find the constant of proportionality from a graph

7th grade (Year 8 in England) · 16 questions · Common Core: 7.RP.A.2.B, 7.RP.A.2.D · England: KS3 Ratio, proportion and rates of change

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Date

Score/ 16

  1. Question 1

    A proportional graph passes through (2, 1). What is k? Give a fraction in simplest form.

    xy12345678123456780y = 0.5x(2, 1)

    Answer(as a fraction)

  2. Question 2

    On a proportional graph of cost (y) against kilograms (x), the point (1, 6) is marked. What does this point tell you?

    xy1234561530450y = 6x(1, 6)
    • A. Every kg costs 1 more than the last
    • B. 1 kg costs 6
    • C. 6 kg cost 1
    • D. The graph starts at 6
  3. Question 3

    The line passes through (0, 0) and (2, 12). What is the constant of proportionality?

    xy12345624681012141618200y = 6x(2, 12)

    Answer

  4. Question 4

    A proportional graph passes through (2, 3). What is k? Give a fraction in simplest form.

    xy12345678123456780y = 1.5x(2, 3)

    Answer(as a fraction)

  5. Question 5

    On a proportional graph of cost (y) against kilograms (x), the point (1, 9) is marked. What does this point tell you?

    xy1234561530450y = 9x(1, 9)
    • A. 9 kg cost 1
    • B. 1 kg costs 9
    • C. The graph starts at 9
    • D. Every kg costs 1 more than the last
  6. Question 6

    The line passes through (0, 0) and (3, 15). What is the constant of proportionality?

    xy12345624681012141618200y = 5x(3, 15)

    Answer

  7. Question 7

    A proportional graph passes through (3, 2). What is k? Give a fraction in simplest form.

    xy12345678123456780y = 0.666666667x(3, 2)

    Answer(as a fraction)

  8. Question 8

    On a proportional graph of cost (y) against kilograms (x), the point (1, 5) is marked. What does this point tell you?

    xy1234561530450y = 5x(1, 5)
    • A. 5 kg cost 1
    • B. 1 kg costs 5
    • C. The graph starts at 5
    • D. Every kg costs 1 more than the last
  9. Question 9

    The line passes through (0, 0) and (2, 10). What is the constant of proportionality?

    xy12345624681012141618200y = 5x(2, 10)

    Answer

  10. Question 10

    A proportional graph passes through (4, 3). What is k? Give a fraction in simplest form.

    xy12345678123456780y = 0.75x(4, 3)

    Answer(as a fraction)

  11. Question 11

    On a proportional graph of cost (y) against kilograms (x), the point (1, 2) is marked. What does this point tell you?

    xy1234561530450y = 2x(1, 2)
    • A. 2 kg cost 1
    • B. 1 kg costs 2
    • C. The graph starts at 2
    • D. Every kg costs 1 more than the last
  12. Question 12

    The line passes through (0, 0) and (2, 6). What is the constant of proportionality?

    xy12345624681012141618200y = 3x(2, 6)

    Answer

  13. Question 13

    A proportional graph passes through (3, 4). What is k? Give a fraction in simplest form.

    xy12345678123456780y = 1.333333333x(3, 4)

    Answer(as a fraction)

  14. Question 14

    On a proportional graph of cost (y) against kilograms (x), the point (1, 6) is marked. What does this point tell you?

    xy1234561530450y = 6x(1, 6)
    • A. Every kg costs 1 more than the last
    • B. The graph starts at 6
    • C. 6 kg cost 1
    • D. 1 kg costs 6
  15. Question 15

    The line passes through (0, 0) and (2, 12). What is the constant of proportionality?

    xy12345624681012141618200y = 6x(2, 12)

    Answer

  16. Question 16

    A proportional graph passes through (2, 3). What is k? Give a fraction in simplest form.

    xy12345678123456780y = 1.5x(2, 3)

    Answer(as a fraction)

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Answer key: Find the constant of proportionality from a graph

  1. 1. 1/2

  2. 2. B. 1 kg costs 6

  3. 3. 6

  4. 4. 3/2

  5. 5. B. 1 kg costs 9

  6. 6. 5

  7. 7. 2/3

  8. 8. B. 1 kg costs 5

  9. 9. 5

  10. 10. 3/4

  11. 11. B. 1 kg costs 2

  12. 12. 3

  13. 13. 4/3

  14. 14. D. 1 kg costs 6

  15. 15. 6

  16. 16. 3/2