# Exponential Decay And The Number

23 Questions | Total Attempts: 260  Settings  • 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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