Exponential Decay And The Number
- 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
Questions: 10 | Attempts: 103 | Last updated: Mar 20, 2022
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