Question 1

Do you expect the average rate of change in the number of smart phones in the U.S. since 2000 to be positive or negative?

Accepted Answer

The answer of Do you expect the average rate of...

Question 2

A population is growing according to the formula   , where P is the population at year t. What is the initial population?

Accepted Answer

A) 507 
B) 426 
C) 107 
D) 400 
A) 507 
B) 426 
C) 107 
D) 400

Question 3

As   , the function   _____.

Accepted Answer

A)    
B)    
C) neither of these 
A)    
B)    
C) neither of these

Question 4

A textbook company had fixed costs of $15,000 and variable costs of $20 for a certain book. The company sells the books for $40 each. What is the break-even point for the company (to the nearest book)?

Accepted Answer

The answer of A textbook company had fixed costs of...

Question 5

Production costs for manufacturing t-shirts consist of a fixed cost of $12,000 plus variable costs of $2 per shirt. Each t-shirt sells for $7 dollars. Find the total profit,   , as a function of the number of shirts produced, q.

Accepted Answer

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

Question 6

Which could be a possible formula for the following figure? Assume a and b are positive constants.

Accepted Answer

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

Question 7

The population of Nicaragua was 3.6 million in 1990 and growing at 3.4% per year. How many years does it take for the population of Nicaragua to increase by 60%? Round to 2 decimal places.

Accepted Answer

The answer of The population of Nicaragua was 3.6 million...

Question 8

The solid curve below is a portion of the graph of   and the dashed curve is a portion of the graph of   . The domain of both functions is all real numbers.Which of the following statements are true. Select all that apply.

Accepted Answer

A) At x = 1,   . 
B) For all x > 1,   . 
C) As   . 
D) There is only one value of x for which   . 
A) At x = 1,   . 
B) For all x > 1,   . 
C) As   . 
D) There is only one value of x for which   .

Question 9

In nature, the populations of two animals, one of which preys upon the other (such as foxes and rabbits) are observed to oscillate with time, and are found to be well approximated by trigonometric functions. The population of foxes is shown in the graph below. How many foxes will there be in 15 months?

Accepted Answer

The answer of In nature, the populations of two animals,...

Question 10

Is the function described by the following table of values exponential?

Accepted Answer

The answer of Is the function described by the following...

Question 11

Solve   for x using logs. Round to 3 decimal places.

Accepted Answer

The answer of Solve   for x using logs....

Question 12

As   ,   _____.

Accepted Answer

A)    
B) 0 
C)    
A)    
B) 0 
C)

Question 13

Sketch a well-labeled graph of a periodic function such that :
-- f(0) = 1,050
-- the period is 12
-- the amplitude is 550.
Then write a few sentences illustrating how such a function might apply to a grasshopper population.

Accepted Answer

Answers will vary. The graph of @#IMG-DLM& is one

Question 14

Solve   for both a and k. Round to 3 decimal places.
a=_____ k=_____

Accepted Answer

Part A:
6

Question 15

The following tables shows values for two functions. Which one could be exponential?

Accepted Answer

A)    
B)    
A)    
B)

Question 16

A clean up of a polluted lake will remove 4% of the remaining contaminants every year. How many years will it take to reduce the quantity of contaminants to 1/10 of its present level? Round to the nearest tenth.

Accepted Answer

The answer of A clean up of a polluted lake...

Question 17

A bank pays 6% annual interest. If $1000 is deposited in this bank account, find the amount in the account after 5 years if the interest is compounded weekly.

Accepted Answer

The answer of A bank pays 6% annual interest. If...

Question 18

As   , the function   _____.

Accepted Answer

A)    
B)    
C) neither of these 
A)    
B)    
C) neither of these

Question 19

The demand and supply curves for a certain product are given in terms of price, p, by   and   . What is the equilibrium price?

Accepted Answer

A) $7 
B) $2 
C) $28 
D) $200 
A) $7 
B) $2 
C) $28 
D) $200

Question 20

The empirical function   graphed below represents the population P of a city (in thousands of people) at time t. The _____ of the function is from 1900 to 1980, and the _____ of the function is from approximately 35,000 to 70,000 people.

Accepted Answer

The answer of The empirical function   graphed below...

Do you expect the average rate of change in the number of smart phones in the U.S. since 2000 to be positive or negative?

A population is growing according to the formula , where P is the population at year t. What is the initial population?

As , the function _____.

A textbook company had fixed costs of $15,000 and variable costs of $20 for a certain book. The company sells the books for $40 each. What is the break-even point for the company (to the nearest book)?

Production costs for manufacturing t-shirts consist of a fixed cost of $12,000 plus variable costs of $2 per shirt. Each t-shirt sells for $7 dollars. Find the total profit, , as a function of the number of shirts produced, q.

Which could be a possible formula for the following figure? Assume a and b are positive constants.

The population of Nicaragua was 3.6 million in 1990 and growing at 3.4% per year. How many years does it take for the population of Nicaragua to increase by 60%? Round to 2 decimal places.

The solid curve below is a portion of the graph of and the dashed curve is a portion of the graph of . The domain of both functions is all real numbers.Which of the following statements are true. Select all that apply.

Is the function described by the following table of values exponential?

Solve for x using logs. Round to 3 decimal places.

As , _____.

Sketch a well-labeled graph of a periodic function such that : -- f(0) = 1,050 -- the period is 12 -- the amplitude is 550. Then write a few sentences illustrating how such a function might apply to a grasshopper population.

Solve for both a and k. Round to 3 decimal places. a=_ k=_

The following tables shows values for two functions. Which one could be exponential?

A clean up of a polluted lake will remove 4% of the remaining contaminants every year. How many years will it take to reduce the quantity of contaminants to 1/10 of its present level? Round to the nearest tenth.

A bank pays 6% annual interest. If $1000 is deposited in this bank account, find the amount in the account after 5 years if the interest is compounded weekly.

As , the function _____.

The demand and supply curves for a certain product are given in terms of price, p, by and . What is the equilibrium price?

The empirical function graphed below represents the population P of a city (in thousands of people) at time t. The _ of the function is from 1900 to 1980, and the _ of the function is from approximately 35,000 to 70,000 people.

Rate of Change: the Derivative

Shortcuts to Differentiation

Using the Derivative

Accumulated Change: the Definite Integral

Antiderivatives and Applications

Probability

Functions of Several Variables

Mathematical Modeling Using Differential Equations

Geometric Series

Filters

Exam 1: Functions and Change

Do you expect the average rate of change in the number of smart phones in the U.S. since 2000 to be positive or negative?

A population is growing according to the formula , where P is the population at year t. What is the initial population?

As , the function _____.

A textbook company had fixed costs of $15,000 and variable costs of $20 for a certain book. The company sells the books for $40 each. What is the break-even point for the company (to the nearest book)?

Production costs for manufacturing t-shirts consist of a fixed cost of $12,000 plus variable costs of $2 per shirt. Each t-shirt sells for $7 dollars. Find the total profit, , as a function of the number of shirts produced, q.

Which could be a possible formula for the following figure? Assume a and b are positive constants.

The population of Nicaragua was 3.6 million in 1990 and growing at 3.4% per year. How many years does it take for the population of Nicaragua to increase by 60%? Round to 2 decimal places.

The solid curve below is a portion of the graph of and the dashed curve is a portion of the graph of . The domain of both functions is all real numbers.Which of the following statements are true. Select all that apply.

Is the function described by the following table of values exponential?

Solve for x using logs. Round to 3 decimal places.

As , _____.

Sketch a well-labeled graph of a periodic function such that : -- f(0) = 1,050 -- the period is 12 -- the amplitude is 550. Then write a few sentences illustrating how such a function might apply to a grasshopper population.

Solve for both a and k. Round to 3 decimal places. a=_____ k=_____

The following tables shows values for two functions. Which one could be exponential?

A clean up of a polluted lake will remove 4% of the remaining contaminants every year. How many years will it take to reduce the quantity of contaminants to 1/10 of its present level? Round to the nearest tenth.

A bank pays 6% annual interest. If $1000 is deposited in this bank account, find the amount in the account after 5 years if the interest is compounded weekly.

As , the function _____.

The demand and supply curves for a certain product are given in terms of price, p, by and . What is the equilibrium price?

The empirical function graphed below represents the population P of a city (in thousands of people) at time t. The _____ of the function is from 1900 to 1980, and the _____ of the function is from approximately 35,000 to 70,000 people.

Rate of Change: the Derivative

Shortcuts to Differentiation

Using the Derivative

Accumulated Change: the Definite Integral

Antiderivatives and Applications

Probability

Functions of Several Variables

Mathematical Modeling Using Differential Equations

Geometric Series

Filters

Solve for both a and k. Round to 3 decimal places. a=_ k=_

The empirical function graphed below represents the population P of a city (in thousands of people) at time t. The _ of the function is from 1900 to 1980, and the _ of the function is from approximately 35,000 to 70,000 people.