Exponential Decay And The Number

23 Questions | Total Attempts: 260

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Exponential Decay And The Number - Quiz

Questions and Answers
  • 1. 
    If you take 400 mg of ibuprofen and every hour 29% of ibuprofen is broken down in the body, how much ibuprofen is in your body system after 3 hours? Round to whole number (without decimals) without units.
  • 2. 
    Which of the following is an exponential function?
    • A. 

      Y=3^2

    • B. 

      Y=3x

    • C. 

      Y=(1/3)^x

  • 3. 
    Which of the following is an exponential decay function?
    • A. 

      Y=3^x

    • B. 

      Y=3^(-x)

  • 4. 
    3^0 = ?
    • A. 

      3

    • B. 

      0

    • C. 

      1

  • 5. 
    choose the equation that best describes the graph
    • A. 

      Y= - (0.25)^x

    • B. 

      Y=(0.25)^x

    • C. 

      Y = (0.5)^x

  • 6. 
    If you take 400 mg of ibuprofen and every hour 29% of ibuprofen is broken down in the body, how much ibuprofen is in your body system after 3 hours? Round to whole number (without decimals) without units.
  • 7. 
    Make a table for the equation y = (2/3)^x  -1x->0,1,2y->?,?,?
    • A. 

      Y->1,2,3

    • B. 

      Y->0,1,2

    • C. 

      Y->0,-.33,-.56

  • 8. 
    An exponential decay function becomes smaller and smaller until it reaches 0. true or false
  • 9. 
    An exponential decay function always has -x as its power. true or false
  • 10. 
    Nadia put $500 in her bank account with an interest compounded annually at the rate of 10%. This is an example of exponential growth. true or false
  • 11. 
    Nadia put $500 in her bank account with an interest compounded annually at the rate of 10%. The model for this problem is a)y = 500 (1.010)xORb) y = 500 (1.10)x
  • 12. 
    A radioactive substance decays at the rate of 3% per hour. This is an example of exponential decay. true or false
  • 13. 
    A radioactive substance decays at the rate of 3% per hour. If we have 300 g of this substance which of the following would be true?
    • A. 

      Only 213 g would remain after 3 hours

    • B. 

      Only 252 g would remain after 2 hours

    • C. 

      Only 257 g would remain after 5 hours

  • 14. 
    A radioactive substance decays at the rate of 3% per hour. If we have 200 g of this substance and after some time only about 147 g of it remains, how much time has passed?
    • A. 

      8 hours

    • B. 

      10 hours

    • C. 

      12 hours

  • 15. 
    The natural base e is a rational number. choose the best answer from below.
    • A. 

      True, it is a decimal number so its rational.

    • B. 

      False, it is a decimal number and a fraction

    • C. 

      True, it cannot be divided by any number

    • D. 

      False, it is a decimal that cannot be written as a fraction

  • 16. 
    Evaluate the expression: e3 ·e5
    • A. 

      E^2

    • B. 

      E^8

  • 17. 
    Which of the following is true?
    • A. 

      The answer to 17 is e^2

    • B. 

      The answer to 19 is e^(3x) / 3

    • C. 

      The answer to 20 is e^8x / 9

  • 18. 
    Which of the following is true?
    • A. 

      The answer to 18 is e^-2

    • B. 

      The answer to 21 is 3e^4

    • C. 

      The answer to 23 is e^(2x+5)

  • 19. 
    Which of the following is true?
    • A. 

      The answer to #33 is 20.1

    • B. 

      The answer to #35 is 5.47

    • C. 

      The answer to #37 is .25

    • D. 

      The answer to #39 is 2981

    • E. 

      The answer to #34 is .513

  • 20. 
    Which of the following is true?
    • A. 

      #49, #51, #52 are all decay functions

    • B. 

      #51, #53, #54 are all growth functions

    • C. 

      #54, #55, #56 are all decay functions

    • D. 

      None of the above are true

  • 21. 
    If e is to the power of -x then the function is a decay function. true or false
    • A. 

      True

    • B. 

      False

  • 22. 
    The length l (in cm) of a tiger shark is modeled by the function  l = 337 - 276e-0.178twhere t is the shark’s age in years. which of the following is true?
    • A. 

      The shark is 201 cm long when it is 5 years old.

    • B. 

      The shark is 223 cm long when it is 10 years old.

    • C. 

      The shark is 144 cm long when it is 2 years old.

  • 23. 
    The length l (in cm) of a tiger shark is modeled by the function  l = 337 - 276e-0.178twhere t is the shark’s age in years. what is the length of the shark when it is 7 years old?
    • A. 

      256.6 cm

    • B. 

      257.61 cm

    • C. 

      258 cm

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