Question 1

Determine whether the function represents exponential growth or decay. 
A) Decay
B) Growth

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Question 2

For the exponential function given, identify A) the initial value and B) the growth or decay factor.

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Question 3

Write an equation in the form  for an exponential function with initial value 3,700 and growth factor 1.9.

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Question 4

Write a function in the form  for an exponential function where  and for every unit increase in x, the output is multiplied by 0.3.

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Question 5

Write an equation for an exponential function (in the form  ) that satisfies these two points:
  and  
Round values to 2 decimal places.

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Question 6

Write a function in the form  for an exponential function where  and  .

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Question 7

Find the growth/decay factor (assuming exponential growth/decay) for a population that decreases from 29,000,000 to 24,940,000 in one year.

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Question 8

Find the formula of the given exponential function.
  
Give your answer in  form. Round values to 2 decimal places.

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Question 9

A piece of equipment is originally worth $18,000 and its worth decreases by a factor of 0.6 each year.
A) Find a formula that gives the equipment's value , V, as a function of the years, y, since its purchase.
B) Use the formula to find the worth of the equipment after 3 years.Round your answer to the nearest cent.

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Question 10

Find an exponential function where  and  Write your answer in  form and round values to 2 decimal places.

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Question 11

The half-life of Beryllium 11 is 13.81 seconds. If a sample initially contains 2,800 atoms, create a formula to represent the number of atoms, A, in the sample after T intervals of 13.81 seconds.

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Question 12

The half-life of Flourine 20 is 11 seconds. If a sample initially contains 2,200 atoms, how long would it take for the sample to decay to 275 atoms?

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Question 13

The half-life of Fluorine 18 is 1.82 hours. If a sample initially contains 6,400 atoms, how many atoms will be left after 3.64 hours? Round the answer to the nearest whole number if necesasry.

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Question 14

The half-life of penicillin in a beef cow is approximately 30 hours. If a beef cow is administered 45 mL of penicillin, how long will it take for the animal to reach the acceptable level for butchering of 0.5 mL? (Round your answer to the nearest tenth of an hour.)

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Question 15

The half-life of penicillin in a beef cow is approximately 30 hours. If the acceptable level for butchering of 0.5 mL, and the beef cow is administered 25 mL of penicillin, will it be at an acceptable level to butcher after 7 days?

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Question 16

If the half-life of francium is 21 minutes, how long would it take for a 2,000 gram sample to decay to less than 60 grams? (Round the answer to the nearest minute.)

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Question 17

If the half-life of francium is 21 minutes, how much of a 4,000 gram sample would be left after 20 minutes? (Round the answer to the nearest gram.)

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Question 18

For an exponential function,  where x is measured in months and  and  Find A) the 4-month growth factor and B) the monthly growth factor.
Round answers to 2 decimal places.

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Question 19

For an exponential function,  where x is measured in months and  and  , which of the following is the monthly growth factor of the function (Rounded to 2 decimal places.)?
A) 4.45
B) 1.16
C) 3.45
D) 0.22

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Question 20

Suppose a town's population grows from 85,000 to 385,000 over 12 years.
Find A) the 12-year growth factor and B) the annual growth factor.
Round answers to 2 decimal places.

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Quiz 5: Growth and Decay: An Introduction to Exponential Functions

Determine whether the function represents exponential growth or decay.

For the exponential function given, identify A) the initial value and B) the growth or decay factor.

Write an equation in the form for an exponential function with initial value 3,700 and growth factor 1.9.

Write a function in the form for an exponential function where and for every unit increase in x, the output is multiplied by 0.3.

Write an equation for an exponential function (in the form ) that satisfies these two points: and Round values to 2 decimal places.

Write a function in the form for an exponential function where and .

Find the growth/decay factor (assuming exponential growth/decay) for a population that decreases from 29,000,000 to 24,940,000 in one year.

Find the formula of the given exponential function. Give your answer in form. Round values to 2 decimal places.

Find an exponential function where and Write your answer in form and round values to 2 decimal places.