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Exponential growth and decay

9th grade (Year 10 in England) · 16 questions · Common Core: HSF.LE.A.1, HSF.LE.A.2, HSF.IF.C.8.B · England: GCSE Higher Algebra

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  1. Question 1

    y = 30 × 1.1ˣ. Find y when x = 2. Round to 2 decimal places if needed.

    Answer

  2. Question 2

    Sofia's bacteria culture starts with 100 cells and doubles every 3 hours. How many cells after 12 hours?

    Answer

  3. Question 3

    Does y = 35(0.8)ˣ show exponential growth or decay?

    • A. Growth
    • B. Decay
  4. Question 4

    y = 32 × 2ˣ. Find y when x = 4. Round to 2 decimal places if needed.

    Answer

  5. Question 5

    Zara's bacteria culture starts with 500 cells and doubles every 2 hours. How many cells after 8 hours?

    Answer

  6. Question 6

    Does y = 62(2)ˣ show exponential growth or decay?

    • A. Growth
    • B. Decay
  7. Question 7

    y = 43 × 1.5ˣ. Find y when x = 4. Round to 2 decimal places if needed.

    Answer

  8. Question 8

    Ethan's bacteria culture starts with 160 cells and doubles every 3 hours. How many cells after 6 hours?

    Answer

  9. Question 9

    Does y = 68(1.2)ˣ show exponential growth or decay?

    • A. Growth
    • B. Decay
  10. Question 10

    y = 23 × 0.5ˣ. Find y when x = 3. Round to 2 decimal places if needed.

    Answer

  11. Question 11

    Ben's bacteria culture starts with 330 cells and doubles every 5 hours. How many cells after 5 hours?

    Answer

  12. Question 12

    Does y = 34(0.5)ˣ show exponential growth or decay?

    • A. Growth
    • B. Decay
  13. Question 13

    y = 49 × 1.1ˣ. Find y when x = 4. Round to 2 decimal places if needed.

    Answer

  14. Question 14

    Hiro's bacteria culture starts with 170 cells and doubles every 4 hours. How many cells after 16 hours?

    Answer

  15. Question 15

    Does y = 4(0.25)ˣ show exponential growth or decay?

    • A. Growth
    • B. Decay
  16. Question 16

    y = 9 × 1.5ˣ. Find y when x = 3. Round to 2 decimal places if needed.

    Answer

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Answer key: Exponential growth and decay

  1. 1. 36.3

  2. 2. 1600

  3. 3. B. Decay

  4. 4. 512

  5. 5. 8000

  6. 6. A. Growth

  7. 7. 217.69

  8. 8. 640

  9. 9. A. Growth

  10. 10. 2.88

  11. 11. 660

  12. 12. B. Decay

  13. 13. 71.74

  14. 14. 2720

  15. 15. B. Decay

  16. 16. 30.38