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Read the growth or decay rate from y = a(1 ± r)ᵗ

9th grade (Year 10 in England) · 16 questions · Common Core: HSF.LE.B.5, HSF.IF.C.8.B · England: GCSE Higher Algebra

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  1. Question 1

    Sam's laptop battery loses 20% of its remaining charge every hour. What number is the charge multiplied by each hour? Give a decimal.

    Answer

  2. Question 2

    y = 700(1.15)ᵗ. Which describes the change each time period?

    • A. growth of 115%
    • B. decay of 15%
    • C. growth of 15%
  3. Question 3

    Fatima's video channel has 2000 subscribers and grows by 8% each month. Which model gives the subscribers after t months?

    • A. y = 2000(0.08)ᵗ
    • B. y = 2000 + 8t
    • C. y = 2000(1.08)ᵗ
    • D. y = 2000(0.92)ᵗ
  4. Question 4

    Jamal's laptop battery loses 10% of its remaining charge every hour. What number is the charge multiplied by each hour? Give a decimal.

    Answer

  5. Question 5

    y = 290(1.04)ᵗ. Which describes the change each time period?

    • A. growth of 4%
    • B. decay of 4%
    • C. growth of 104%
  6. Question 6

    A medicine dose of 1200 mg in the body falls by 25% each hour. Which model gives the amount after t hours?

    • A. y = 1200(0.25)ᵗ
    • B. y = 1200(0.75)ᵗ
    • C. y = 1200(1.25)ᵗ
    • D. y = 1200 − 25t
  7. Question 7

    Sam's laptop battery loses 10% of its remaining charge every hour. What number is the charge multiplied by each hour? Give a decimal.

    Answer

  8. Question 8

    y = 470(0.97)ᵗ. Which describes the change each time period?

    • A. growth of 3%
    • B. decay of 3%
    • C. growth of 97%
    • D. decay of 97%
  9. Question 9

    Zoe's video channel has 2350 subscribers and grows by 6% each month. Which model gives the subscribers after t months?

    • A. y = 2350(1.06)ᵗ
    • B. y = 2350(0.94)ᵗ
    • C. y = 2350(0.06)ᵗ
    • D. y = 2350 + 6t
  10. Question 10

    Kwame's laptop battery loses 25% of its remaining charge every hour. What number is the charge multiplied by each hour? Give a decimal.

    Answer

  11. Question 11

    y = 510(0.95)ᵗ. Which describes the change each time period?

    • A. decay of 5%
    • B. decay of 95%
    • C. growth of 95%
    • D. growth of 5%
  12. Question 12

    A medicine dose of 1200 mg in the body falls by 12% each hour. Which model gives the amount after t hours?

    • A. y = 1200 − 12t
    • B. y = 1200(1.12)ᵗ
    • C. y = 1200(0.12)ᵗ
    • D. y = 1200(0.88)ᵗ
  13. Question 13

    Ines's laptop battery loses 10% of its remaining charge every hour. What number is the charge multiplied by each hour? Give a decimal.

    Answer

  14. Question 14

    y = 270(0.75)ᵗ. Which describes the change each time period?

    • A. decay of 75%
    • B. growth of 25%
    • C. growth of 75%
    • D. decay of 25%
  15. Question 15

    A medicine dose of 400 mg in the body falls by 25% each hour. Which model gives the amount after t hours?

    • A. y = 400(1.25)ᵗ
    • B. y = 400 − 25t
    • C. y = 400(0.25)ᵗ
    • D. y = 400(0.75)ᵗ
  16. Question 16

    Sofia's laptop battery loses 5% of its remaining charge every hour. What number is the charge multiplied by each hour? Give a decimal.

    Answer

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  1. 0.8
  2. growth of 15%
  3. y = 2000(1.08)ᵗ
  4. 0.9
  5. growth of 4%
  6. y = 1200(0.75)ᵗ
  7. 0.9
  8. decay of 3%
  9. y = 2350(1.06)ᵗ
  10. 0.75
  11. decay of 5%
  12. y = 1200(0.88)ᵗ
  13. 0.9
  14. decay of 25%
  15. y = 400(0.75)ᵗ
  16. 0.95