Question 1

The _____ of an earthquake is the logarithm of relative intensity.

Accepted Answer

A) magnitude 
B) scale 
C) Richter value 
D) degree 
A) magnitude 
B) scale 
C) Richter value 
D) degree

Question 2

What is the product of two solutions of the equation ?

Accepted Answer

A) -10 
B) 24 
C) -24 
D) 10 
A) -10 
B) 24 
C) -24 
D) 10

Question 3

A(n) _____ function is a function that changes at a constant percentage rate.

Accepted Answer

A) logarithmic 
B) linear 
C) exponential 
D) increasing 
A) logarithmic 
B) linear 
C) exponential 
D) increasing

Question 4

The loudness of sound decreases as the distance from the source increases. Doubling the distance from a sound multiplies the relative intensity of the sound by one-fourth. If the sound of a speaker is recorded at 80 decibels at 4 feet, what is the decibel reading at 8 feet?

Accepted Answer

A) 20 decibels 
B) 46 decibels 
C) 68 decibels 
D) 74 decibels 
A) 20 decibels 
B) 46 decibels 
C) 68 decibels 
D) 74 decibels

Question 5

The probability P (as a decimal) that no tsunami with waves over 15 feet high will strike a beach community over a period of t years is given by the formula P = 0.93t. What is the percentage decrease of the probability for each 1-year increase in the time interval?

Accepted Answer

A) 3% 
B) 5% 
C) 7% 
D) 9% 
A) 3% 
B) 5% 
C) 7% 
D) 9%

Question 6

A speaker is playing music at 75 decibels. A second speaker playing the same music at the same decibel reading is placed beside the first. What is the decibel reading of the pair of speakers?

Accepted Answer

A) 150 decibels 
B) 180 decibels 
C) 98 decibels 
D) 78 decibels 
A) 150 decibels 
B) 180 decibels 
C) 98 decibels 
D) 78 decibels

Question 7

The rate of inflation measures the percentage increase in the price of consumer goods. The rate of inflation from the year 2005 to 2007 was 5%. Suppose that this rate persisted through 2015. What would be the cost in 2015 of an item that costs $100 in 2005?

Accepted Answer

A) $127.63 
B) $135.89 
C) $149.63 
D) $162.89 
A) $127.63 
B) $135.89 
C) $149.63 
D) $162.89

Question 8

Suppose the number of Internet domain hosts grew according to the rule Next year's number = 1.47 × Current number. If the number of domain hosts initially was 8.4 million, find an exponential function that gives the number of hosts, H, in terms of time, t

Accepted Answer

A) H = 1.47 × (8.4)t 
B) H = 1.47 + (8.4)t 
C) H = 8.4 + (1.47)t 
D) H = 8.4 × (1.47)t 
A) H = 1.47 × (8.4)t 
B) H = 1.47 + (8.4)t 
C) H = 8.4 + (1.47)t 
D) H = 8.4 × (1.47)t

Question 9

Factor the equation .

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 10

For a certain product X, the profit is modeled as , where equals the number of units sold. How many units sold will produce the maximum profit?

Accepted Answer

A) 20 units 
B) 50 units 
C) 100 units 
D) 200 units 
A) 20 units 
B) 50 units 
C) 100 units 
D) 200 units

Question 11

What value of makes a minimum?

Accepted Answer

A) 1.5 
B) 2 
C) 3 
D) 3.5 
A) 1.5 
B) 2 
C) 3 
D) 3.5

Question 12

This table shows the total number of patients diagnosed with the flu since an outbreak started:   Find the slope of the linear function giving the number of diagnosed flu cases per day.

Accepted Answer

A) 0.7 
B) 0.9 
C) 1.2 
D) 1.4 
A) 0.7 
B) 0.9 
C) 1.2 
D) 1.4

Question 13

Suppose that inflation is 3% per year. This means the cost of an item increases by 3% each year. Suppose a jacket cost $150 in 2011. Find a formula that gives the cost of the jacket C in dollars after t years.

Accepted Answer

A) C = $150 + 1.03t 
B) C = $150 × 1.03t 
C) C = $150 × 1.3t 
D) C = $150 + 1.3t 
A) C = $150 + 1.03t 
B) C = $150 × 1.03t 
C) C = $150 × 1.3t 
D) C = $150 + 1.3t

Question 14

The number of blogs (or weblogs) grew rapidly for several years. According to one report, since early 2004 the number of blogs has doubled in size every six months. What is the percent increase from March 2004 to March 2006?

Accepted Answer

A) 1500% 
B) 1600% 
C) 3100% 
D) 3200% 
A) 1500% 
B) 1600% 
C) 3100% 
D) 3200%

Question 15

Solve the equation .

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 16

Actinium-225 has a half-life of 10 days. Suppose we have an initial amount of 100 grams of actinium-225. How much would be present after 30 days?

Accepted Answer

A) 50 grams 
B) 33.3 grams 
C) 25 grams 
D) 12.5 grams 
A) 50 grams 
B) 33.3 grams 
C) 25 grams 
D) 12.5 grams

Question 17

A function is called linear if it has a(n) _____ growth rate.

Accepted Answer

A) increasing 
B) decreasing 
C) varied 
D) constant 
A) increasing 
B) decreasing 
C) varied 
D) constant

Question 18

Suppose you make an investment of $2000 that you are not allowed to cash in for five years. Unfortunately, the value of the investment decreases by 15% per year. How long will it be before your investment decreases to half its original value?

Accepted Answer

A) 2.5 years 
B) 3.6 years 
C) 4.1 years 
D) 4.3 years 
A) 2.5 years 
B) 3.6 years 
C) 4.1 years 
D) 4.3 years

Question 19

The following table shows the number of certain objects for given time . Which of the following best describes as a function of ?

Accepted Answer

A) linear 
B) exponential 
C) logarithmic 
D) constant 
A) linear 
B) exponential 
C) logarithmic 
D) constant

Question 20

The graph of a linear function is a:

Accepted Answer

A) curve. 
B) jagged line. 
C) straight line. 
D) dotted line. 
A) curve. 
B) jagged line. 
C) straight line. 
D) dotted line.

The _____ of an earthquake is the logarithm of relative intensity.

What is the product of two solutions of the equation ?

A(n) _____ function is a function that changes at a constant percentage rate.

The loudness of sound decreases as the distance from the source increases. Doubling the distance from a sound multiplies the relative intensity of the sound by one-fourth. If the sound of a speaker is recorded at 80 decibels at 4 feet, what is the decibel reading at 8 feet?

The probability P (as a decimal) that no tsunami with waves over 15 feet high will strike a beach community over a period of t years is given by the formula P = 0.93^t. What is the percentage decrease of the probability for each 1-year increase in the time interval?

A speaker is playing music at 75 decibels. A second speaker playing the same music at the same decibel reading is placed beside the first. What is the decibel reading of the pair of speakers?

The rate of inflation measures the percentage increase in the price of consumer goods. The rate of inflation from the year 2005 to 2007 was 5%. Suppose that this rate persisted through 2015. What would be the cost in 2015 of an item that costs $100 in 2005?

Suppose the number of Internet domain hosts grew according to the rule Next year's number = 1.47 × Current number. If the number of domain hosts initially was 8.4 million, find an exponential function that gives the number of hosts, H, in terms of time, t

Factor the equation .

For a certain product X, the profit is modeled as , where equals the number of units sold. How many units sold will produce the maximum profit?

What value of makes a minimum?

This table shows the total number of patients diagnosed with the flu since an outbreak started: Find the slope of the linear function giving the number of diagnosed flu cases per day.

Suppose that inflation is 3% per year. This means the cost of an item increases by 3% each year. Suppose a jacket cost $150 in 2011. Find a formula that gives the cost of the jacket C in dollars after t years.

The number of blogs (or weblogs) grew rapidly for several years. According to one report, since early 2004 the number of blogs has doubled in size every six months. What is the percent increase from March 2004 to March 2006?

Solve the equation .

Actinium-225 has a half-life of 10 days. Suppose we have an initial amount of 100 grams of actinium-225. How much would be present after 30 days?

A function is called linear if it has a(n) _____ growth rate.

Suppose you make an investment of $2000 that you are not allowed to cash in for five years. Unfortunately, the value of the investment decreases by 15% per year. How long will it be before your investment decreases to half its original value?

The following table shows the number of certain objects for given time . Which of the following best describes as a function of ?

The graph of a linear function is a:

Critical Thinking

Analysis of Growth

Personal Finance

Introduction to Probability

Statistics

Graph Theory

Voting and Social Choice

Geometry

Filters

Exam 3: Linear and Exponential Change: Comparing Growth Rates

The _____ of an earthquake is the logarithm of relative intensity.

What is the product of two solutions of the equation ?

A(n) _____ function is a function that changes at a constant percentage rate.

The loudness of sound decreases as the distance from the source increases. Doubling the distance from a sound multiplies the relative intensity of the sound by one-fourth. If the sound of a speaker is recorded at 80 decibels at 4 feet, what is the decibel reading at 8 feet?

The probability P (as a decimal) that no tsunami with waves over 15 feet high will strike a beach community over a period of t years is given by the formula P = 0.93t. What is the percentage decrease of the probability for each 1-year increase in the time interval?

A speaker is playing music at 75 decibels. A second speaker playing the same music at the same decibel reading is placed beside the first. What is the decibel reading of the pair of speakers?

The rate of inflation measures the percentage increase in the price of consumer goods. The rate of inflation from the year 2005 to 2007 was 5%. Suppose that this rate persisted through 2015. What would be the cost in 2015 of an item that costs $100 in 2005?

Suppose the number of Internet domain hosts grew according to the rule Next year's number = 1.47 × Current number. If the number of domain hosts initially was 8.4 million, find an exponential function that gives the number of hosts, H, in terms of time, t

Factor the equation .

For a certain product X, the profit is modeled as , where equals the number of units sold. How many units sold will produce the maximum profit?

What value of makes a minimum?

This table shows the total number of patients diagnosed with the flu since an outbreak started: Find the slope of the linear function giving the number of diagnosed flu cases per day.

Suppose that inflation is 3% per year. This means the cost of an item increases by 3% each year. Suppose a jacket cost $150 in 2011. Find a formula that gives the cost of the jacket C in dollars after t years.

The number of blogs (or weblogs) grew rapidly for several years. According to one report, since early 2004 the number of blogs has doubled in size every six months. What is the percent increase from March 2004 to March 2006?

Solve the equation .

Actinium-225 has a half-life of 10 days. Suppose we have an initial amount of 100 grams of actinium-225. How much would be present after 30 days?

A function is called linear if it has a(n) _____ growth rate.

Suppose you make an investment of $2000 that you are not allowed to cash in for five years. Unfortunately, the value of the investment decreases by 15% per year. How long will it be before your investment decreases to half its original value?

The following table shows the number of certain objects for given time . Which of the following best describes as a function of ?

The graph of a linear function is a:

Critical Thinking

Analysis of Growth

Personal Finance

Introduction to Probability

Statistics

Graph Theory

Voting and Social Choice

Geometry

Filters

The probability P (as a decimal) that no tsunami with waves over 15 feet high will strike a beach community over a period of t years is given by the formula P = 0.93^t. What is the percentage decrease of the probability for each 1-year increase in the time interval?