Question 1

Provide an appropriate response.
-Which of the following sounds would you expect to have the highest decibel measurement?

Accepted Answer

A) Ordinary conversation 
B) Background noise in an average home 
C) Rustling leaves 
D) Afternoon traffic in New York City 
A) Ordinary conversation 
B) Background noise in an average home 
C) Rustling leaves 
D) Afternoon traffic in New York City

Question 2

Provide an appropriate response.
-The Consumer Price Index is increasing at a rate of 5% per year. By what factor will prices increase in 2 years? Use the approximate doubling time formula (rule of 70).

Accepted Answer

A) 5.1 
B) 20 
C) 1 
D) 1.1 
A) 5.1 
B) 20 
C) 1 
D) 1.1

Question 3

Provide an appropriate response.
-The following table gives the birth and death rates for four countries in three different years:   Find Littleton's net growth rate due to births and deaths in year 1.

Accepted Answer

A) 0.6 per 100 
B) 0.9 per 100 
C) 0.4 per 100 
D) 0.5 per 100 
A) 0.6 per 100 
B) 0.9 per 100 
C) 0.4 per 100 
D) 0.5 per 100

Question 4

Provide an appropriate response.
-The carrying capacity of our planet depends on our consumption of energy.

Accepted Answer

A) True 
 B)False

Question 5

Provide an appropriate response.
-Given that $\log _ { 10 } 5 = 0.699$, find $\log _ { 10 } \frac { 1 } { 625 }$ without using a calculator.

Accepted Answer

A)  $- 20.000$ 
B)  $0.342$ 
C)  $- 2.796$ 
D)  $- 8.388$ 
A)  $- 20.000$ 
B)  $0.342$ 
C)  $- 2.796$ 
D)  $- 8.388$

Question 6

Provide an appropriate response.
-Our town is growing with a doubling time of 40 years, so its population will triple
in 120 years.

Accepted Answer

A) True 
 B)False

Question 7

Provide an appropriate response.
-Suppose you had a magic bank account in which your balance doubled each day. If you started with just $3, you'd be a millionaire in less than a month.

Accepted Answer

A) True 
 B)False

Question 8

Provide an appropriate response.
-Earthquakes usually cause damage in all but which one of the following related ways?

Accepted Answer

A) Collapsed building due to inferior construction 
B) Landslides 
C) Fires caused by heat from the earth's interior. 
D) Tsunamis 
A) Collapsed building due to inferior construction 
B) Landslides 
C) Fires caused by heat from the earth's interior. 
D) Tsunamis

Question 9

Determine whether the growth (or decay)is linear or exponential, and answer the associated question.
-The value of your house is rising by 19% per year. If it is worth $319,738 today, what will it be worth in three years?

Accepted Answer

A) Exponential; $384,416.96 
B) Linear; $441,238.44 
C) Exponential; $538,809.37 
D) Linear; $501,988.66 
A) Exponential; $384,416.96 
B) Linear; $441,238.44 
C) Exponential; $538,809.37 
D) Linear; $501,988.66

Question 10

Use the given growth rate to find the approximate doubling time and to predict the population in 50 years of a growingsuburban town (based on a current population of 100,000).
-Use the current annual growth rate which is about 3.1%.

Accepted Answer

A)  25 years; population in 50 years $= 630,783$ 
B)  18 years; population in 50 years $= 251,154$ 
C)  23 years; population in 50 years $= 464,052$ 
D)  33 years; population in 50 years $= 341,392$ 
A)  25 years; population in 50 years $= 630,783$ 
B)  18 years; population in 50 years $= 251,154$ 
C)  23 years; population in 50 years $= 464,052$ 
D)  33 years; population in 50 years $= 341,392$

Question 11

Provide an appropriate response.
-Within the next decade, world population will grow by more than eight times the
current population of the United States.

Accepted Answer

A) True 
 B)False

Question 12

Solve.
-Using the chessboard parable, how many grains of wheat should be placed on square 18 of the chessboard?

Accepted Answer

A) 34 grains 
B) 262,144 grains 
C) 131,072 grains 
D) 65,536 grains 
A) 34 grains 
B) 262,144 grains 
C) 131,072 grains 
D) 65,536 grains

Question 13

Provide an appropriate response.
-Consider a population that begins growing exponentially at a base rate of 8% per year and then follows a logistic growth pattern. If the carrying capacity is 90 million, find the actual growth rate
When the population is 76 million.

Accepted Answer

A) 1.24% 
B) 1.41% 
C) 1.12% 
D) 1.33% 
A) 1.24% 
B) 1.41% 
C) 1.12% 
D) 1.33%

Question 14

Use the pH scale to answer the question.
-If the pH of a solution increases by 3, how much does the hydrogen ion concentration change? Does the change make the solution more acidic or more basic?

Accepted Answer

A) Decreases by a factor of 30; more basic 
B) Increases by a factor of 1000; more acidic 
C) Increases by a factor of 30; more acidic 
D) Decreases by a factor of 1000; more basic 
A) Decreases by a factor of 30; more basic 
B) Increases by a factor of 1000; more acidic 
C) Increases by a factor of 30; more acidic 
D) Decreases by a factor of 1000; more basic

Question 15

Provide an appropriate response.
-The number of cells in a tumor doubles every 3.7 months. If the tumor begins as a single cell, how many cells will there be after 3 years?

Accepted Answer

A) 849 cells 
B) 123 cells 
C) 2 cells 
D) 133 cells 
A) 849 cells 
B) 123 cells 
C) 2 cells 
D) 133 cells

Question 16

Provide an appropriate response.
-The world population growth rate is equal to the birth rate subtracted from the death rate.

Accepted Answer

A) True 
 B)False

Question 17

Determine whether the growth (or decay)is linear or exponential, and answer the associated question.
-The population of Scoville is increasing at a rate of 405 people per year. If the population is 696 today, what will it be in three years?

Accepted Answer

A) Exponential; 337,153,941 people 
B) Linear; 1911 people 
C) Linear; 2493 people 
D) Exponential; 66,430,821 people 
A) Exponential; 337,153,941 people 
B) Linear; 1911 people 
C) Linear; 2493 people 
D) Exponential; 66,430,821 people

Question 18

Provide an appropriate response.
-An earthquake of magnitude 2 will do twice as much damage as an earthquake of magnitude 1.

Accepted Answer

A) True 
 B)False

Question 19

Provide an appropriate response.
-A community of deer begins with an initial population of 1000 and grows 0.8% per year. Find the doubling time of the population. Round to the nearest year.

Accepted Answer

A) 1 year 
B) 87 years 
C) 250 years 
D) 38 years 
A) 1 year 
B) 87 years 
C) 250 years 
D) 38 years

Question 20

Use the decibel scale to answer the question.
-How does the intensity of sound form a concert speaker at a distance of 1 meter compare to the intensity at a distance of 5 meters?

Accepted Answer

A) Factor of 15 weaker at 5 m. 
B) Factor of $10 ^ { 5 }$ weaker at 5 m. 
C) Factor of 5 weaker at 5 m. 
D) Factor of 25 weaker at 5 m. 
A) Factor of 15 weaker at 5 m. 
B) Factor of $10 ^ { 5 }$ weaker at 5 m. 
C) Factor of 5 weaker at 5 m. 
D) Factor of 25 weaker at 5 m.

Provide an appropriate response. -Which of the following sounds would you expect to have the highest decibel measurement?

Provide an appropriate response. -The Consumer Price Index is increasing at a rate of 5% per year. By what factor will prices increase in 2 years? Use the approximate doubling time formula (rule of 70).

Provide an appropriate response. -The following table gives the birth and death rates for four countries in three different years: Find Littleton's net growth rate due to births and deaths in year 1.

Provide an appropriate response. -The carrying capacity of our planet depends on our consumption of energy.

Provide an appropriate response. -Given that $\log _ { 10 } 5 = 0.699$ , find $\log _ { 10 } \frac { 1 } { 625 }$ without using a calculator.

Provide an appropriate response. -Our town is growing with a doubling time of 40 years, so its population will triple in 120 years.

Provide an appropriate response. -Suppose you had a magic bank account in which your balance doubled each day. If you started with just $3, you'd be a millionaire in less than a month.

Provide an appropriate response. -Earthquakes usually cause damage in all but which one of the following related ways?

Determine whether the growth (or decay)is linear or exponential, and answer the associated question. -The value of your house is rising by 19% per year. If it is worth $319,738 today, what will it be worth in three years?

Use the given growth rate to find the approximate doubling time and to predict the population in 50 years of a growingsuburban town (based on a current population of 100,000). -Use the current annual growth rate which is about 3.1%.

Provide an appropriate response. -Within the next decade, world population will grow by more than eight times the current population of the United States.

Solve. -Using the chessboard parable, how many grains of wheat should be placed on square 18 of the chessboard?

Provide an appropriate response. -Consider a population that begins growing exponentially at a base rate of 8% per year and then follows a logistic growth pattern. If the carrying capacity is 90 million, find the actual growth rate When the population is 76 million.

Use the pH scale to answer the question. -If the pH of a solution increases by 3, how much does the hydrogen ion concentration change? Does the change make the solution more acidic or more basic?

Provide an appropriate response. -The number of cells in a tumor doubles every 3.7 months. If the tumor begins as a single cell, how many cells will there be after 3 years?

Provide an appropriate response. -The world population growth rate is equal to the birth rate subtracted from the death rate.

Determine whether the growth (or decay)is linear or exponential, and answer the associated question. -The population of Scoville is increasing at a rate of 405 people per year. If the population is 696 today, what will it be in three years?

Provide an appropriate response. -An earthquake of magnitude 2 will do twice as much damage as an earthquake of magnitude 1.

Provide an appropriate response. -A community of deer begins with an initial population of 1000 and grows 0.8% per year. Find the doubling time of the population. Round to the nearest year.

Use the decibel scale to answer the question. -How does the intensity of sound form a concert speaker at a distance of 1 meter compare to the intensity at a distance of 5 meters?

Thinking Critically

Approaches to Problem Solving

Numbers in the Real World

Managing Money

Statistical Reasoning

Putting Statistics to Work

Probability: Living With the Odds

Modeling Our World

Modeling With Geometry

Mathematics and the Arts

Filters

Exam 8: Exponential Astonishment

Provide an appropriate response. -Which of the following sounds would you expect to have the highest decibel measurement?

Provide an appropriate response. -The Consumer Price Index is increasing at a rate of 5% per year. By what factor will prices increase in 2 years? Use the approximate doubling time formula (rule of 70).

Provide an appropriate response. -The following table gives the birth and death rates for four countries in three different years: Find Littleton's net growth rate due to births and deaths in year 1.

Provide an appropriate response. -The carrying capacity of our planet depends on our consumption of energy.

Provide an appropriate response. -Given that log⁡105=0.699\log _ { 10 } 5 = 0.699log10​5=0.699 , find log⁡101625\log _ { 10 } \frac { 1 } { 625 }log10​6251​ without using a calculator.

Provide an appropriate response. -Our town is growing with a doubling time of 40 years, so its population will triple in 120 years.

Provide an appropriate response. -Suppose you had a magic bank account in which your balance doubled each day. If you started with just $3, you'd be a millionaire in less than a month.

Provide an appropriate response. -Earthquakes usually cause damage in all but which one of the following related ways?

Determine whether the growth (or decay)is linear or exponential, and answer the associated question. -The value of your house is rising by 19% per year. If it is worth $319,738 today, what will it be worth in three years?

Use the given growth rate to find the approximate doubling time and to predict the population in 50 years of a growingsuburban town (based on a current population of 100,000). -Use the current annual growth rate which is about 3.1%.

Provide an appropriate response. -Within the next decade, world population will grow by more than eight times the current population of the United States.

Solve. -Using the chessboard parable, how many grains of wheat should be placed on square 18 of the chessboard?

Provide an appropriate response. -Consider a population that begins growing exponentially at a base rate of 8% per year and then follows a logistic growth pattern. If the carrying capacity is 90 million, find the actual growth rate When the population is 76 million.

Use the pH scale to answer the question. -If the pH of a solution increases by 3, how much does the hydrogen ion concentration change? Does the change make the solution more acidic or more basic?

Provide an appropriate response. -The number of cells in a tumor doubles every 3.7 months. If the tumor begins as a single cell, how many cells will there be after 3 years?

Provide an appropriate response. -The world population growth rate is equal to the birth rate subtracted from the death rate.

Determine whether the growth (or decay)is linear or exponential, and answer the associated question. -The population of Scoville is increasing at a rate of 405 people per year. If the population is 696 today, what will it be in three years?

Provide an appropriate response. -An earthquake of magnitude 2 will do twice as much damage as an earthquake of magnitude 1.

Provide an appropriate response. -A community of deer begins with an initial population of 1000 and grows 0.8% per year. Find the doubling time of the population. Round to the nearest year.

Use the decibel scale to answer the question. -How does the intensity of sound form a concert speaker at a distance of 1 meter compare to the intensity at a distance of 5 meters?

Thinking Critically

Approaches to Problem Solving

Numbers in the Real World

Managing Money

Statistical Reasoning

Putting Statistics to Work

Probability: Living With the Odds

Modeling Our World

Modeling With Geometry

Mathematics and the Arts

Filters

Provide an appropriate response. -Given that $\log _ { 10 } 5 = 0.699$ , find $\log _ { 10 } \frac { 1 } { 625 }$ without using a calculator.