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Decide if a graph shows a proportional relationship

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

Name

Date

Score/ 16

  1. Question 1

    Does this graph of y = 2x show a proportional relationship?

    xy−2−1123456612180y = 2x
    • A. Yes
    • B. No

  2. Question 2

    Which situation gives a proportional relationship between cost and amount?

    • A. Apples: $2 per kg, nothing else
    • B. Phone: $10 a month plus $0.20 per text
    • C. Taxi: $3 to get in, then $2 per km
    • D. Gym: $20 joining fee plus $2 per visit

  3. Question 3

    Does this graph of y = 3x − 2 show a proportional relationship?

    xy−2−1123456612180y = 3x − 2
    • A. Yes
    • B. No

  4. Question 4

    Which situation gives a proportional relationship between cost and amount?

    • A. Apples: $4 per kg, nothing else
    • B. Gym: $20 joining fee plus $4 per visit
    • C. Phone: $10 a month plus $0.40 per text
    • D. Taxi: $3 to get in, then $4 per km

  5. Question 5

    Does this graph of y = 3x + 4 show a proportional relationship?

    xy−2−1123456612180y = 3x + 4
    • A. Yes
    • B. No

  6. Question 6

    Which situation gives a proportional relationship between cost and amount?

    • A. Taxi: $3 to get in, then $2 per km
    • B. Apples: $2 per kg, nothing else
    • C. Phone: $10 a month plus $0.20 per text
    • D. Gym: $20 joining fee plus $2 per visit

  7. Question 7

    Does this graph of y = 4x − 2 show a proportional relationship?

    xy−2−1123456612180y = 4x − 2
    • A. Yes
    • B. No

  8. Question 8

    Which situation gives a proportional relationship between cost and amount?

    • A. Apples: $4 per kg, nothing else
    • B. Taxi: $3 to get in, then $4 per km
    • C. Phone: $10 a month plus $0.40 per text
    • D. Gym: $20 joining fee plus $4 per visit

  9. Question 9

    Does this graph of y = 2x show a proportional relationship?

    xy−2−1123456612180y = 2x
    • A. Yes
    • B. No

  10. Question 10

    Which situation gives a proportional relationship between cost and amount?

    • A. Gym: $20 joining fee plus $4 per visit
    • B. Apples: $4 per kg, nothing else
    • C. Taxi: $3 to get in, then $4 per km
    • D. Phone: $10 a month plus $0.40 per text

  11. Question 11

    Does this graph of y = 3x show a proportional relationship?

    xy−2−1123456612180y = 3x
    • A. Yes
    • B. No

  12. Question 12

    Which situation gives a proportional relationship between cost and amount?

    • A. Apples: $5 per kg, nothing else
    • B. Taxi: $3 to get in, then $5 per km
    • C. Phone: $10 a month plus $0.50 per text
    • D. Gym: $20 joining fee plus $5 per visit

  13. Question 13

    Does this graph of y = x show a proportional relationship?

    xy−2−1123456612180y = x
    • A. Yes
    • B. No

  14. Question 14

    Which situation gives a proportional relationship between cost and amount?

    • A. Gym: $20 joining fee plus $6 per visit
    • B. Phone: $10 a month plus $0.60 per text
    • C. Apples: $6 per kg, nothing else
    • D. Taxi: $3 to get in, then $6 per km

  15. Question 15

    Does this graph of y = 4x + 1 show a proportional relationship?

    xy−2−1123456612180y = 4x + 1
    • A. Yes
    • B. No

  16. Question 16

    Which situation gives a proportional relationship between cost and amount?

    • A. Phone: $10 a month plus $0.20 per text
    • B. Gym: $20 joining fee plus $2 per visit
    • C. Taxi: $3 to get in, then $2 per km
    • D. Apples: $2 per kg, nothing else

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Answer key: Decide if a graph shows a proportional relationship

  1. 1. A. Yes

  2. 2. A. Apples: $2 per kg, nothing else

  3. 3. B. No

  4. 4. A. Apples: $4 per kg, nothing else

  5. 5. B. No

  6. 6. B. Apples: $2 per kg, nothing else

  7. 7. B. No

  8. 8. A. Apples: $4 per kg, nothing else

  9. 9. A. Yes

  10. 10. B. Apples: $4 per kg, nothing else

  11. 11. A. Yes

  12. 12. A. Apples: $5 per kg, nothing else

  13. 13. A. Yes

  14. 14. C. Apples: $6 per kg, nothing else

  15. 15. B. No

  16. 16. D. Apples: $2 per kg, nothing else