Question 1

Use the pH scale to answer the question.
-What is the pH of a solution with a hydrogen ion concentration of 10-10 mole per liter? Is this solution an acid or a base?

Accepted Answer

A)  $\mathrm { pH } = 4$; acid 
B)  $\mathrm { pH } = 10$; base 
C)  $\mathrm { pH } = 11$; base 
D)  $\mathrm { pH } = 7$; neutral 
A)  $\mathrm { pH } = 4$; acid 
B)  $\mathrm { pH } = 10$; base 
C)  $\mathrm { pH } = 11$; base 
D)  $\mathrm { pH } = 7$; neutral

Question 2

Provide an appropriate response.
-Pure water is neutral and has a pH of 0.

Accepted Answer

A) True 
 B)False

Question 3

Provide an appropriate response.
-The half-life of a drug in the bloodstream is 12 hours. By what factor does the concentration of the drug decrease in 23 hours?

Accepted Answer

A) 3.78 
B) 0.26 
C) 0.07 
D) 0.02 
A) 3.78 
B) 0.26 
C) 0.07 
D) 0.02

Question 4

Use the decibel scale to answer the question.
-How much louder (more intense)is a 60-dB sound than a 50-dB sound?

Accepted Answer

A) 1.2 times as loud 
B) 10,000,000 times as loud 
C) 25 times as loud 
D) 10 times as loud 
A) 1.2 times as loud 
B) 10,000,000 times as loud 
C) 25 times as loud 
D) 10 times as loud

Question 5

Provide an appropriate response.
-The earthquake magnitude scale relates the magnitude to the amount of energy released.

Accepted Answer

A) True 
 B)False

Question 6

Provide an appropriate response.
-Urban encroachment is causing the area of a forest to decline at a rate of 6% per year. Use the approximate half-life formula to determine the fraction that remains in 66 years.

Accepted Answer

A) 0.942318 
B) 2.828571 
C) 0.019817 
D) 0.520202 
A) 0.942318 
B) 2.828571 
C) 0.019817 
D) 0.520202

Question 7

Provide an appropriate response.
-If a population has exceeded the carrying capacity of its environment, it may suffer a rapid and severe decrease in the population. What is the name of this type of population decrease?

Accepted Answer

A) Overshoot 
B) Logistic growth 
C) Annual growth rate 
D) Collapse 
A) Overshoot 
B) Logistic growth 
C) Annual growth rate 
D) Collapse

Question 8

Use the pH scale to answer the question.
-What is the pH of a solution with a hydrogen ion concentration of 0.001 mole per liter? Is this solution an acid or a base?

Accepted Answer

A)  $\mathrm { pH } = 3$; acid 
B)  $\mathrm { pH } = 7$; neutral 
C)  $\mathrm { pH } = 4$; acid 
D)  $\mathrm { pH } = 8$; base 
A)  $\mathrm { pH } = 3$; acid 
B)  $\mathrm { pH } = 7$; neutral 
C)  $\mathrm { pH } = 4$; acid 
D)  $\mathrm { pH } = 8$; base

Question 9

Determine whether the growth (or decay)is linear or exponential, and answer the associated question.
-During the worst periods of inflation in America, the price of food increased at a rate of 10% per month. If your food bill was $400 one month during this period, what was it two months later?

Accepted Answer

A) Exponential; $484.00 
B) Linear; $880.00 
C) Exponential; $441.00 
D) Linear; $480.00 
A) Exponential; $484.00 
B) Linear; $880.00 
C) Exponential; $441.00 
D) Linear; $480.00

Question 10

Solve.
-Use the bacteria parable to determine what fraction of the bottle is full at 11:39.

Accepted Answer

A)  $\frac { 1 } { 2 ^ { 21 } }$ full 
B)  $\frac { 41 } { 60 }$ full 
C)  $\frac { 1 } { 2 ^ { 20 } }$ full 
D)  $\frac { 1 } { 2 ^ { 22 } }$ full 
A)  $\frac { 1 } { 2 ^ { 21 } }$ full 
B)  $\frac { 41 } { 60 }$ full 
C)  $\frac { 1 } { 2 ^ { 20 } }$ full 
D)  $\frac { 1 } { 2 ^ { 22 } }$ full

Question 11

Use the decibel scale to answer the question.
-How does the intensity of sound from a concert speaker at a distance of 20 meters compare to the intensity at a distance of 140 meters?

Accepted Answer

A) Factor of 7 weaker at 140 m. 
B) Factor of 49 weaker at 140 m. 
C) Factor of 196 weaker at 140 m. 
D) Factor of 70 weaker at 140 m. 
A) Factor of 7 weaker at 140 m. 
B) Factor of 49 weaker at 140 m. 
C) Factor of 196 weaker at 140 m. 
D) Factor of 70 weaker at 140 m.

Question 12

Provide an appropriate response.
-The initial population of a town is 128,066 and it grows with a doubling time of 97 years. What will the population be in 35 years?

Accepted Answer

A) 128,090 people 
B) 8,964,620 people 
C) 4,482,310 people 
D) 164,457 people 
A) 128,090 people 
B) 8,964,620 people 
C) 4,482,310 people 
D) 164,457 people

Question 13

Provide an appropriate response.
-Use the growth rate of 1.3% to estimate the population of a growing country in 2097. Start from the 2000 population of 62 million. Use the approximate doubling time formula.

Accepted Answer

A) 216.1 million 
B) 143.7 million 
C) 162.0 million 
D) 91.1 million 
A) 216.1 million 
B) 143.7 million 
C) 162.0 million 
D) 91.1 million

Question 14

Provide an appropriate response.
-Real populations sometimes increase beyond their environment's carrying capacity in a relatively short period of time. What is the name of this phenomenon?

Accepted Answer

A) Annual growth rate 
B) Logistic growth 
C) Overshoot 
D) Collapse 
A) Annual growth rate 
B) Logistic growth 
C) Overshoot 
D) Collapse

Question 15

Provide an appropriate response.
-When the population is small relative to the carrying capacity, logistic growth is
exponential with a fractional growth rate close to the base growth rate r.

Accepted Answer

A) True 
 B)False

Question 16

Solve.
-Using the chessboard parable, find the total weight (in pounds )when all squares up to and including 15 are filled. Assume that each grain of wheat weighs 1/7000 pound. Round your answer
To the nearest pound.

Accepted Answer

A) 4 pounds 
B) 1 pounds 
C) 2 pounds 
D) 5 pounds 
A) 4 pounds 
B) 1 pounds 
C) 2 pounds 
D) 5 pounds

Question 17

Use the decibel scale to answer the question.
-How does the intensity of sound from a concert speaker at a distance of 10 meters compare to the intensity at a distance of 40 meters?

Accepted Answer

A) Factor of 40 weaker at 40 m. 
B) Factor of 4 weaker at 40 m. 
C) Factor of 64 weaker at 40 m. 
D) Factor of 16 weaker at 40 m. 
A) Factor of 40 weaker at 40 m. 
B) Factor of 4 weaker at 40 m. 
C) Factor of 64 weaker at 40 m. 
D) Factor of 16 weaker at 40 m.

Question 18

Provide an appropriate response.
-The doubling time of a city's population is 22 years. How long does it take for the population to quadruple.

Accepted Answer

A)  4 years 
B)  $22 ^ { 4 }$ years 
C)  $2 ^ { 22 }$ years 
D)  44 years 
A)  4 years 
B)  $22 ^ { 4 }$ years 
C)  $2 ^ { 22 }$ years 
D)  44 years

Question 19

Provide an appropriate response.
-A nation of 100 million people is growing at a rate of 4% per year. Use the exact double time formula to determine what the population will be in 33 years.

Accepted Answer

A) 102 million 
B) 191 million 
C) 365 million 
D) 250 million 
A) 102 million 
B) 191 million 
C) 365 million 
D) 250 million

Question 20

Provide an appropriate response.
-log101,400,000 is between 6 and 7.

Accepted Answer

A) True 
 B)False

Use the pH scale to answer the question. -What is the pH of a solution with a hydrogen ion concentration of 10-10 mole per liter? Is this solution an acid or a base?

Provide an appropriate response. -Pure water is neutral and has a pH of 0.

Provide an appropriate response. -The half-life of a drug in the bloodstream is 12 hours. By what factor does the concentration of the drug decrease in 23 hours?

Use the decibel scale to answer the question. -How much louder (more intense)is a 60-dB sound than a 50-dB sound?

Provide an appropriate response. -The earthquake magnitude scale relates the magnitude to the amount of energy released.

Provide an appropriate response. -Urban encroachment is causing the area of a forest to decline at a rate of 6% per year. Use the approximate half-life formula to determine the fraction that remains in 66 years.

Provide an appropriate response. -If a population has exceeded the carrying capacity of its environment, it may suffer a rapid and severe decrease in the population. What is the name of this type of population decrease?

Use the pH scale to answer the question. -What is the pH of a solution with a hydrogen ion concentration of 0.001 mole per liter? Is this solution an acid or a base?

Determine whether the growth (or decay)is linear or exponential, and answer the associated question. -During the worst periods of inflation in America, the price of food increased at a rate of 10% per month. If your food bill was $400 one month during this period, what was it two months later?

Solve. -Use the bacteria parable to determine what fraction of the bottle is full at 11:39.

Use the decibel scale to answer the question. -How does the intensity of sound from a concert speaker at a distance of 20 meters compare to the intensity at a distance of 140 meters?

Provide an appropriate response. -The initial population of a town is 128,066 and it grows with a doubling time of 97 years. What will the population be in 35 years?

Provide an appropriate response. -Use the growth rate of 1.3% to estimate the population of a growing country in 2097. Start from the 2000 population of 62 million. Use the approximate doubling time formula.

Provide an appropriate response. -Real populations sometimes increase beyond their environment's carrying capacity in a relatively short period of time. What is the name of this phenomenon?

Provide an appropriate response. -When the population is small relative to the carrying capacity, logistic growth is exponential with a fractional growth rate close to the base growth rate r.

Solve. -Using the chessboard parable, find the total weight (in pounds )when all squares up to and including 15 are filled. Assume that each grain of wheat weighs 1/7000 pound. Round your answer To the nearest pound.

Use the decibel scale to answer the question. -How does the intensity of sound from a concert speaker at a distance of 10 meters compare to the intensity at a distance of 40 meters?

Provide an appropriate response. -The doubling time of a city's population is 22 years. How long does it take for the population to quadruple.

Provide an appropriate response. -A nation of 100 million people is growing at a rate of 4% per year. Use the exact double time formula to determine what the population will be in 33 years.

Provide an appropriate response. -log101,400,000 is between 6 and 7.

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

Use the pH scale to answer the question. -What is the pH of a solution with a hydrogen ion concentration of 10-10 mole per liter? Is this solution an acid or a base?

Provide an appropriate response. -Pure water is neutral and has a pH of 0.

Provide an appropriate response. -The half-life of a drug in the bloodstream is 12 hours. By what factor does the concentration of the drug decrease in 23 hours?

Use the decibel scale to answer the question. -How much louder (more intense)is a 60-dB sound than a 50-dB sound?

Provide an appropriate response. -The earthquake magnitude scale relates the magnitude to the amount of energy released.

Provide an appropriate response. -Urban encroachment is causing the area of a forest to decline at a rate of 6% per year. Use the approximate half-life formula to determine the fraction that remains in 66 years.

Provide an appropriate response. -If a population has exceeded the carrying capacity of its environment, it may suffer a rapid and severe decrease in the population. What is the name of this type of population decrease?

Use the pH scale to answer the question. -What is the pH of a solution with a hydrogen ion concentration of 0.001 mole per liter? Is this solution an acid or a base?

Determine whether the growth (or decay)is linear or exponential, and answer the associated question. -During the worst periods of inflation in America, the price of food increased at a rate of 10% per month. If your food bill was $400 one month during this period, what was it two months later?

Solve. -Use the bacteria parable to determine what fraction of the bottle is full at 11:39.

Use the decibel scale to answer the question. -How does the intensity of sound from a concert speaker at a distance of 20 meters compare to the intensity at a distance of 140 meters?

Provide an appropriate response. -The initial population of a town is 128,066 and it grows with a doubling time of 97 years. What will the population be in 35 years?

Provide an appropriate response. -Use the growth rate of 1.3% to estimate the population of a growing country in 2097. Start from the 2000 population of 62 million. Use the approximate doubling time formula.

Provide an appropriate response. -Real populations sometimes increase beyond their environment's carrying capacity in a relatively short period of time. What is the name of this phenomenon?

Provide an appropriate response. -When the population is small relative to the carrying capacity, logistic growth is exponential with a fractional growth rate close to the base growth rate r.

Solve. -Using the chessboard parable, find the total weight (in pounds )when all squares up to and including 15 are filled. Assume that each grain of wheat weighs 1/7000 pound. Round your answer To the nearest pound.

Use the decibel scale to answer the question. -How does the intensity of sound from a concert speaker at a distance of 10 meters compare to the intensity at a distance of 40 meters?

Provide an appropriate response. -The doubling time of a city's population is 22 years. How long does it take for the population to quadruple.

Provide an appropriate response. -A nation of 100 million people is growing at a rate of 4% per year. Use the exact double time formula to determine what the population will be in 33 years.

Provide an appropriate response. -log101,400,000 is between 6 and 7.

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