Question 1

Find the logarithmic regression function for the data below. Round parameters to the nearest hundredth.

Accepted Answer

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

Question 2

The function   gives the amount of medication, in milligrams, in a patient s bloodstream t minutes after the medication has been injected into the patient s bloodstream. Use a graphing utility to determine how long it will take, to the nearest minute, for the amount of medication in the patient s bloodstream to reach 175 milligrams.

Accepted Answer

A) 14 min 
B) 2 min 
C) 21 min 
D) 39 min 
E) 9 min 
A) 14 min 
B) 2 min 
C) 21 min 
D) 39 min 
E) 9 min

Question 3

Determine the carrying capacity for the logistic growth model below.

Accepted Answer

A) 3305.3 
B) 0.086 
C) 62,800 
D) -0.086 
E) 19 
A) 3305.3 
B) 0.086 
C) 62,800 
D) -0.086 
E) 19

Question 4

In a small city, which has a population of 53,000 people, the number of people   exposed to a rumor in t hours is given by the function   . Find the number of hours until 25% of the population have heard the rumor. Round to the nearest hour.

Accepted Answer

A)    hours 
B)    hours 
C)    hours 
D)    hours 
E)    hours 
A)    hours 
B)    hours 
C)    hours 
D)    hours 
E)    hours

Question 5

Shielding is used to contain radiation. The percentage of a certain radiation that can penetrate x millimeters of shielding is given by   How many millimeters of shielding are required so that less than   % of the radiation penetrates the shielding? Round to the nearest millimeter.

Accepted Answer

A) 25 millimeters 
B) 8 millimeters 
C) 6 millimeters 
D) 10 millimeters 
E) 28 millimeters 
A) 25 millimeters 
B) 8 millimeters 
C) 6 millimeters 
D) 10 millimeters 
E) 28 millimeters

Question 6

An earthquake that occurred on the West Coast of the United States had a Richter scale magnitude of 7.6. Find the intensity of this earthquake.

Accepted Answer

A) 39,810,717   
B) 642,888,893   
C) 9   
D) 1998   
E) 76   
A) 39,810,717   
B) 642,888,893   
C) 9   
D) 1998   
E) 76

Question 7

The function   models the average typing speed S , in words per minute, of a student who has been typing for t months. Use a graph of S to determine how long, to the nearest tenth of a month, it will take the student to achieve an average typing speed of 68 words per minute.

Accepted Answer

A) 5.6 months 
B) 7.5 months 
C) 1.8 months 
D) 5.2 months 
E) 1.9 months 
A) 5.6 months 
B) 7.5 months 
C) 1.8 months 
D) 5.2 months 
E) 1.9 months

Question 8

The function   converts a men s shoe size in the United States to the equivalent shoe size in another country. Determine the function   that can be used to convert the other country s shoe size to its equivalent U.S. shoe size.

Accepted Answer

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

Question 9

A model for how long our coal resources will last is given by   where r is the percent increase in consumption from current levels of use and T is the time (in years)before the resources are depleted. What percent increase in consumption of coal will deplete the resources in 38.1 years? Round to the nearest tenth of a percent.

Accepted Answer

A) 9.9% 
B) 8.7% 
C) 10.5% 
D) 10.1% 
E) 8.1% 
A) 9.9% 
B) 8.7% 
C) 10.5% 
D) 10.1% 
E) 8.1%

Question 10

Find the inverse of the function below, if one exists.

Accepted Answer

A)    
B)    
C)    
D) no inverse exists 
E)    
A)    
B)    
C)    
D) no inverse exists 
E)

Question 11

Use algebraic procedures to find the exact solution of the equation   .

Accepted Answer

A)    
B)    
C)    
D)    
E) no solution 
A)    
B)    
C)    
D)    
E) no solution

Question 12

Use algebraic procedures to find the exact solution(s)of the equation below.

Accepted Answer

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

Question 13

Shielding is used to contain radiation. The percentage of a certain radiation that can penetrate x millimeters of shielding is given by   What percentage of radiation, to the nearest tenth of a percent, will penetrate a shield that is   millimeters thick?

Accepted Answer

A)    % 
B)    % 
C)    % 
D)    % 
E)    % 
A)    % 
B)    % 
C)    % 
D)    % 
E)    %

Question 14

Evaluate the exponential function below for   .

Accepted Answer

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

Question 15

Expand the logarithmic expression   Assume all variable expressions represent positive real numbers.

Accepted Answer

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

Find the logarithmic regression function for the data below. Round parameters to the nearest hundredth.

Determine the carrying capacity for the logistic growth model below.

In a small city, which has a population of 53,000 people, the number of people exposed to a rumor in t hours is given by the function . Find the number of hours until 25% of the population have heard the rumor. Round to the nearest hour.

Shielding is used to contain radiation. The percentage of a certain radiation that can penetrate x millimeters of shielding is given by How many millimeters of shielding are required so that less than % of the radiation penetrates the shielding? Round to the nearest millimeter.

An earthquake that occurred on the West Coast of the United States had a Richter scale magnitude of 7.6. Find the intensity of this earthquake.

The function models the average typing speed S , in words per minute, of a student who has been typing for t months. Use a graph of S to determine how long, to the nearest tenth of a month, it will take the student to achieve an average typing speed of 68 words per minute.

The function converts a men s shoe size in the United States to the equivalent shoe size in another country. Determine the function that can be used to convert the other country s shoe size to its equivalent U.S. shoe size.

Find the inverse of the function below, if one exists.

Use algebraic procedures to find the exact solution of the equation .

Use algebraic procedures to find the exact solution(s)of the equation below.

Shielding is used to contain radiation. The percentage of a certain radiation that can penetrate x millimeters of shielding is given by What percentage of radiation, to the nearest tenth of a percent, will penetrate a shield that is millimeters thick?

Evaluate the exponential function below for .

Expand the logarithmic expression Assume all variable expressions represent positive real numbers.

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Trigonometric Functions

Trigonometric Identities and Equations

Applications of Trigonometry

Topics in Analytic Geometry

Systems of Equations and Inequalities

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Preliminary Concepts

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Exam 4: Exponential and Logarithmic Functions

Find the logarithmic regression function for the data below. Round parameters to the nearest hundredth.

Determine the carrying capacity for the logistic growth model below.

In a small city, which has a population of 53,000 people, the number of people exposed to a rumor in t hours is given by the function . Find the number of hours until 25% of the population have heard the rumor. Round to the nearest hour.

Shielding is used to contain radiation. The percentage of a certain radiation that can penetrate x millimeters of shielding is given by How many millimeters of shielding are required so that less than % of the radiation penetrates the shielding? Round to the nearest millimeter.

An earthquake that occurred on the West Coast of the United States had a Richter scale magnitude of 7.6. Find the intensity of this earthquake.

The function models the average typing speed S , in words per minute, of a student who has been typing for t months. Use a graph of S to determine how long, to the nearest tenth of a month, it will take the student to achieve an average typing speed of 68 words per minute.

The function converts a men s shoe size in the United States to the equivalent shoe size in another country. Determine the function that can be used to convert the other country s shoe size to its equivalent U.S. shoe size.

Find the inverse of the function below, if one exists.

Use algebraic procedures to find the exact solution of the equation .

Use algebraic procedures to find the exact solution(s)of the equation below.

Shielding is used to contain radiation. The percentage of a certain radiation that can penetrate x millimeters of shielding is given by What percentage of radiation, to the nearest tenth of a percent, will penetrate a shield that is millimeters thick?

Evaluate the exponential function below for .

Expand the logarithmic expression Assume all variable expressions represent positive real numbers.

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Trigonometric Functions

Trigonometric Identities and Equations

Applications of Trigonometry

Topics in Analytic Geometry

Systems of Equations and Inequalities

Matrices

Sequences, Series, and Probability

Preliminary Concepts

Filters