Question 1

Find the x -intercept and the y- intercept of the equation  .

Accepted Answer

The answer of Find the x -intercept and the y-...

Question 2

Determine whether the graph represents a function.

Accepted Answer

A)  Yes 
B)  No

Question 3

Sara invested $5700 into an account with an interest rate of 3.3% each year compounded daily. How much money will be in the account after 3 years (rounded to the nearest hundredth)?

Accepted Answer

A)  $5891.23 
B)  $6293.15 
C)  $6283.13 
D)  $798899612.18 
E)  $5888.10

Question 4

Determine the equation of the line that passes through the given points. Put the final answer in  form. Points:

Accepted Answer

A)   
B)   
C)   
D)

Question 5

Two lines are parallel if the two slopes are opposites.

Accepted Answer

A) True 
 B)False

Question 6

Data from local gas stations have revealed that gas prices decreased exponentially each week in late 2008. However there is debate over which model accurately describes the falling gas prices. Jim believes that the correct model for gas prices after x weeks is  while April believes the model should be  . What comparisons can be made about the two different models?

Accepted Answer

A)  The gas prices decreased at a rate of 76% every week as opposed to 94% every week. 
B)  The gas prices decreased at a rate of 24% every week as opposed to 6% every week. 
C)  The price of the gas is $0.18 less than it was before. 
D)  The initial gas price decreased. 
E)  After x weeks the gas price is 0.76 times as much as the initial gas price instead of 0.94 times as much.

Question 7

Use the graph to find the equation of the line. Put the answer in  form.

Accepted Answer

A)   
B)   
C)   
D)

Question 8

Using the following table of a function that models exponential decay determine the initial value (rounded to the nearest integer).

Accepted Answer

A)  880 
B)  668 
C)  508 
D)  293 
E)  Not enough information

Question 9

A bacterial infection starts with 92 bacteria with the bacteria count doubling every 6-hour time period. Which of the following exponential growth models represent the number of bacteria x hours after infection?

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 10

The cost for your wedding reception is $450 plus $75 for each guest. The cost equation is  where C is cost in dollars for g guests. Your budget limit for the reception is $7200. a. What is the maximum number of guests based on your budget limit? b. Graph this equation.

Accepted Answer

The answer of The cost for your wedding reception is...

Question 11

You earn $13 per hour at your job so your weekly pay is represented by the equation where P is your weekly pay in dollars when you work h hours. 
a. Create a table of points based on the following input values.
  b. Graph the points and connect the points with a smooth curve.

Accepted Answer

The answer of You earn $13 per hour at your...

Question 12

The number of cell phone users at time t (in years) is modeled by  . Which one of the following models the number of cell phone users for a one-month growth factor?

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 13

The table can be modeled by where t represents the number of days since Monday.

Accepted Answer

A) True 
 B)False

Question 14

Determine whether the graph represents a function.

Accepted Answer

A)  Yes 
B)  No

Question 15

Morphine is administered to a patient intravenously with an initial amount of 12 mg. About 35.2% of the morphine in a patient's body is metabolized and leaves the body each hour. Which one of the following models the amount of morphine remaining in the body for 1-minute periods of time?

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 16

After college graduation Sheena was offered two different jobs. The first offer included a salary of $40300 plus a guaranteed raise of $1100 per year. The second offer included a salary of $29000 plus a guaranteed raise of 3% per year. 
 Use the first job offer to find a function f that models the salary t years from now.

Accepted Answer

The answer of After college graduation Sheena was offered two...

Question 17

The function  is a model for the world population (in billions) where t measures the number of years since 1900. What is the initial population value?

Accepted Answer

A)  833 million 
B)  12.8 million 
C)  11.5 million 
D)  974 million 
E)  Not enough information

Question 18

Decide whether the lines are parallel perpendicular or neither.  and

Accepted Answer

A)  parallel 
B)  perpendicular 
C)  neither

Question 19

The cash flow (in millions) of a business at time t (in months) is modeled by  . What will the cash flow be after 3 years (round to the nearest ten-thousand)?

Accepted Answer

A)  $4.05 million 
B)  $20.27 million 
C)  $6.29 million 
D)  $3.68 million 
E)  $3.54 million

Question 20

The amount of caffeine (in milligrams) left in an adult body t hours after drinking a 16 oz. coke is modeled by  . What is the decay rate (in percentage form)?

Accepted Answer

A)  23% 
B)  0.23% 
C)  1.77% 
D)  77% 
E)  0.77%

Exam 3: Linear Equations With Two Variables

Find the x -intercept and the y- intercept of the equation .

Determine whether the graph represents a function.

Sara invested $5700 into an account with an interest rate of 3.3% each year compounded daily. How much money will be in the account after 3 years (rounded to the nearest hundredth) ?

Determine the equation of the line that passes through the given points. Put the final answer in form. Points:

Two lines are parallel if the two slopes are opposites.

Use the graph to find the equation of the line. Put the answer in form.

Using the following table of a function that models exponential decay determine the initial value (rounded to the nearest integer) .

A bacterial infection starts with 92 bacteria with the bacteria count doubling every 6-hour time period. Which of the following exponential growth models represent the number of bacteria x hours after infection?

The cost for your wedding reception is $450 plus $75 for each guest. The cost equation is where C is cost in dollars for g guests. Your budget limit for the reception is $7200. a. What is the maximum number of guests based on your budget limit? b. Graph this equation.

You earn $13 per hour at your job so your weekly pay is represented by the equation where P is your weekly pay in dollars when you work h hours. a. Create a table of points based on the following input values. b. Graph the points and connect the points with a smooth curve.

The number of cell phone users at time t (in years) is modeled by . Which one of the following models the number of cell phone users for a one-month growth factor?

The table can be modeled by where t represents the number of days since Monday.

Determine whether the graph represents a function.

Morphine is administered to a patient intravenously with an initial amount of 12 mg. About 35.2% of the morphine in a patient's body is metabolized and leaves the body each hour. Which one of the following models the amount of morphine remaining in the body for 1-minute periods of time?

The function is a model for the world population (in billions) where t measures the number of years since 1900. What is the initial population value?

Decide whether the lines are parallel perpendicular or neither. and

The cash flow (in millions) of a business at time t (in months) is modeled by . What will the cash flow be after 3 years (round to the nearest ten-thousand) ?

The amount of caffeine (in milligrams) left in an adult body t hours after drinking a 16 oz. coke is modeled by . What is the decay rate (in percentage form) ?