Question 1

A linear function has a varying rate of change and a curved graph.

Accepted Answer

A) True 
 B)False

Question 2

The given situation involves a rate of change that you may assume to be constant. Write a statement that describes howone variable varies with respect to another, give the rate of change numerically (with units), and use the rate of changerule to answer the questions.
-You drive along the highway at a constant speed of 45 miles per hour. How far do you travel in 3.4 hours? In 6.5 hours? Write a statement that describes how one variable varies with respect to
Another.

Accepted Answer

A) Your distance traveled changes with respect to time at a rate of 45 miles per hour. The rate of change is 45 mi/hr. In 3.4 hours, you travel 191.25 miles. In 6.5 hours, you travel 365.625
Miles. 
B) Your distance traveled changes with respect to time at a rate of 45 miles per hour. The rate of change is 45 mi/hr. In 3.4 hours, you travel 76.5 miles. In 6.5 hours, you travel 146.25 miles. 
C) Your distance traveled changes with respect to time at a rate of 45 miles per hour. The rate of change is 45 mi/hr. In 3.4 hours, you travel 153 miles. In 6.5 hours, you travel 292.5 miles. 
D) Your distance traveled changes with respect to time at a rate of 45 miles per hour. The rate of change is 45 mi/hr. In 3.4 hours, you travel 114.75 miles. In 6.5 hours, you travel 219.375
Miles. 
A) Your distance traveled changes with respect to time at a rate of 45 miles per hour. The rate of change is 45 mi/hr. In 3.4 hours, you travel 191.25 miles. In 6.5 hours, you travel 365.625
Miles. 
B) Your distance traveled changes with respect to time at a rate of 45 miles per hour. The rate of change is 45 mi/hr. In 3.4 hours, you travel 76.5 miles. In 6.5 hours, you travel 146.25 miles. 
C) Your distance traveled changes with respect to time at a rate of 45 miles per hour. The rate of change is 45 mi/hr. In 3.4 hours, you travel 153 miles. In 6.5 hours, you travel 292.5 miles. 
D) Your distance traveled changes with respect to time at a rate of 45 miles per hour. The rate of change is 45 mi/hr. In 3.4 hours, you travel 114.75 miles. In 6.5 hours, you travel 219.375
Miles.

Question 3

A certain drug is eliminated from the bloodstream exponentially with a half-life of 60 hours. Suppose that a patient receives an initial dose of 10 milligrams of the drug at midnight. Estimate
When the drug concentration will reach 20% of its initial level.

Accepted Answer

A) 139 hours 
B) 199 hours 
C) 79 hours 
D) 23 hours 
A) 139 hours 
B) 199 hours 
C) 79 hours 
D) 23 hours

Question 4

Provide an appropriate response.
-A toxic radioactive substance with a density of 3 milligrams per square centimeter is detected in the ventilating ducts of a nuclear processing building that was used 34 years ago. If the half-life of the
Substance is 10 years, what was the density of the substance when it was deposited 34 years ago?

Accepted Answer

A) 3.68 mg/cm2 
B) 0.28 mg/cm2 
C) 79.17 mg/cm2 
D) 31.67 mg/cm2 
A) 3.68 mg/cm2 
B) 0.28 mg/cm2 
C) 79.17 mg/cm2 
D) 31.67 mg/cm2

Question 5

Provide an appropriate response.
-The following graph represents a function. Describe the function in words.

Accepted Answer

A) The function shows a steadily increasing average age of death between 1980 and 2004. 
B) The function shows a steadily decreasing average age of death between 1980 and 2004. 
C) The function shows that the average age of death increases between 1980 and 1992 and does not change between 1992 and 2004. 
D) The function shows that the average age of death per year does not change between 1980 and 2004. 
A) The function shows a steadily increasing average age of death between 1980 and 2004. 
B) The function shows a steadily decreasing average age of death between 1980 and 2004. 
C) The function shows that the average age of death increases between 1980 and 1992 and does not change between 1992 and 2004. 
D) The function shows that the average age of death per year does not change between 1980 and 2004.

Question 6

Create the required linear function an use it to answer the question.
-In 1995 the United States recovered 26% of its municipal solid wastes through recycling, up from 17% in 1990. Let P represent the percentage recycled and t the number of years since 1990. Based on
These two data points, create a linear equation for the function that describes how P varies as a Function of time.

Accepted Answer

A)  $P = 0.9 t - 17$ 
B)  $P = 1.8 t + 17$ 
C)  $P = - 1.8 t + 7$ 
D)  $P = 1.8 t + 24$ 
A)  $P = 0.9 t - 17$ 
B)  $P = 1.8 t + 17$ 
C)  $P = - 1.8 t + 7$ 
D)  $P = 1.8 t + 24$

Question 7

Briefly discuss the conditions under which a linear function is a realistic model for the given situation.
-

Accepted Answer

a)Snow depth increases with ti

Question 8

Plot and label the given points.
-$(5,6),(-1,4)$

Accepted Answer

The answer of Plot and label the given points.
-$(5,6),(-1,4)$
 
...

Question 9

Plot and label the given points.
-$( 0,6 ) , ( 0,1 )$

Accepted Answer

The answer of Plot and label the given points.
-\(( 0,6...

Question 10

Provide an appropriate response.
-$\mathrm { Q } = \mathrm { Q } _ { 0 } \times 2 ^ { \mathrm { t } / \mathrm { T } \text { double } }$ is the equation for______

Accepted Answer

A)  half-life 
B)  doubling time 
C)  growth or decay 
D)  None of the above. 
A)  half-life 
B)  doubling time 
C)  growth or decay 
D)  None of the above.

Question 11

The population of a town with an initial population of 60,196 is decreasing at a rate of 4.2% per year. Create a table showing the value of the quantity Q for the first 5 years or growth or decay.

Accepted Answer

A) 
$\begin{array}{cr}
\text { Year } & \text { Population } \
0 & 60,196 \
1 & 55,140 \
2 & 50,508 \
3 & 46,265 \
4 & 42,379 \
5 & 38,819
\end{array}$ 
B) 
$\begin{array}{cr}
\text { Year } & \text { Population } \
0 & 60,196 \
1 & 58,932 \
2 & 57,694 \
3 & 56,483 \
4 & 55,297 \
5 & 54,135
\end{array}$ 
C) 
$\begin{array}{cr}
\text { Year } & \text { Population } \
0 & 60,196 \
1 & 57,668 \
2 & 55,246 \
3 & 52,925 \
4 & 50,703 \
5 & 48,573
\end{array}$ 
D) 
$\begin{array}{l}
\text { Year Population }\
\begin{array}{ll}
0 & 60,196 \
1 & 62,724 \
2 & 65,359 \
3 & 68,104 \
4 & 70,964 \
5 & 73,945
\end{array}
\end{array}$ 
A) 
$\begin{array}{cr}
\text { Year } & \text { Population } \
0 & 60,196 \
1 & 55,140 \
2 & 50,508 \
3 & 46,265 \
4 & 42,379 \
5 & 38,819
\end{array}$ 
B) 
$\begin{array}{cr}
\text { Year } & \text { Population } \
0 & 60,196 \
1 & 58,932 \
2 & 57,694 \
3 & 56,483 \
4 & 55,297 \
5 & 54,135
\end{array}$ 
C) 
$\begin{array}{cr}
\text { Year } & \text { Population } \
0 & 60,196 \
1 & 57,668 \
2 & 55,246 \
3 & 52,925 \
4 & 50,703 \
5 & 48,573
\end{array}$ 
D) 
$\begin{array}{l}
\text { Year Population }\
\begin{array}{ll}
0 & 60,196 \
1 & 62,724 \
2 & 65,359 \
3 & 68,104 \
4 & 70,964 \
5 & 73,945
\end{array}
\end{array}$

Question 12

Provide an appropriate response.
-The following graph represents a function. Identify the independent and dependent variables and describe the domain and range.

Accepted Answer

A) The independent variable is age and the dependent variable is time, measured in years. The domain is the ages between 0 and 79. The range is the years between 1980 and 2004. 
B) The independent variable is time, measured in years, and the dependent variable is age. The domain is the years between 1980 and 2004. The range is the ages between 0 and 79. 
C) The independent variable is age and the dependent variable is time, measured in years. The domain is the years between 1980 and 2004. The range is the ages between 0 and 79. 
D) The independent variable is time, measured in years, and the dependent variable is age. The domain is the ages between 0 and 79. The range is the years between 1980 and 2004. 
A) The independent variable is age and the dependent variable is time, measured in years. The domain is the ages between 0 and 79. The range is the years between 1980 and 2004. 
B) The independent variable is time, measured in years, and the dependent variable is age. The domain is the years between 1980 and 2004. The range is the ages between 0 and 79. 
C) The independent variable is age and the dependent variable is time, measured in years. The domain is the years between 1980 and 2004. The range is the ages between 0 and 79. 
D) The independent variable is time, measured in years, and the dependent variable is age. The domain is the ages between 0 and 79. The range is the years between 1980 and 2004.

Question 13

Write a short statement that expresses a possible function between the given variables.
-(grade of hill, speed of scooter)

Accepted Answer

A) If you are coasting down a hill on a scooter, the narrower the hill, the faster you will coast. 
B) If you are coasting down a hill on a scooter, the steeper the hill, the faster you will coast. 
C) If you are coasting down a hill on a scooter, the wider the hill, the slower you will coast. 
D) If you are coasting down a hill on a scooter, the steeper the hill, the slower you will coast. 
A) If you are coasting down a hill on a scooter, the narrower the hill, the faster you will coast. 
B) If you are coasting down a hill on a scooter, the steeper the hill, the faster you will coast. 
C) If you are coasting down a hill on a scooter, the wider the hill, the slower you will coast. 
D) If you are coasting down a hill on a scooter, the steeper the hill, the slower you will coast.

Question 14

Write an equation for the linear function and use it to answer the given question.
-You can purchase a motorcycle for $7101 or lease it for a down payment of $783 and $243 per month. Find an equation that describes how the cost of the lease depends on time. How long can
You lease the motorcycle before you've paid more than its purchase price.

Accepted Answer

A)  $\mathrm { L } = 783 + 243 \mathrm {~m} ; 26$ months 
B)  $L = 783 + 243 \mathrm {~m} ; 32$ months 
C)  $L = 783 - 243 m ; 32$ months 
D)  $\mathrm { L } = 783 - 243 \mathrm {~m} ; 26$ months 
A)  $\mathrm { L } = 783 + 243 \mathrm {~m} ; 26$ months 
B)  $L = 783 + 243 \mathrm {~m} ; 32$ months 
C)  $L = 783 - 243 m ; 32$ months 
D)  $\mathrm { L } = 783 - 243 \mathrm {~m} ; 26$ months

Question 15

What is comprised of the values of the independent variable?

Accepted Answer

A) Domain 
B) Periodic function 
C) Range 
D) Model 
A) Domain 
B) Periodic function 
C) Range 
D) Model

Question 16

Briefly discuss the conditions under which a linear function is a realistic model for the given situation.
-

Accepted Answer

a)On a long trip, distance fro

Question 17

Briefly discuss the conditions under which a linear function is a realistic model for the given situation.
-

Accepted Answer

a)The number of students sick

Question 18

Plot and label the given points.
-$(1,6),(-4,-2)$

Accepted Answer

The answer of Plot and label the given points.
-$(1,6),(-4,-2)$
 
...

Question 19

Provide an appropriate response.
-The population of a town with an initial population of 62,300 is decreasing at a rate of 3.2% per year. Make a graph of the exponential function.

Accepted Answer

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

Question 20

For the given function:
a)Describe an appropriate domain and range for the function.
b)Make a rough sketch of a graph of the function.
c)Briefly discuss the validity of your graph as a model of the true function.
-(miles ran per week, 5K time)

Accepted Answer

Answers may vary.
a)The domain of the fu

A linear function has a varying rate of change and a curved graph.

A certain drug is eliminated from the bloodstream exponentially with a half-life of 60 hours. Suppose that a patient receives an initial dose of 10 milligrams of the drug at midnight. Estimate When the drug concentration will reach 20% of its initial level.

Provide an appropriate response. -The following graph represents a function. Describe the function in words.

Briefly discuss the conditions under which a linear function is a realistic model for the given situation. -

Plot and label the given points. - $(5,6),(-1,4)$

Plot and label the given points. - $( 0,6 ) , ( 0,1 )$

Provide an appropriate response. - $\mathrm { Q } = \mathrm { Q } _ { 0 } \times 2 ^ { \mathrm { t } / \mathrm { T } \text { double } }$ is the equation for______

The population of a town with an initial population of 60,196 is decreasing at a rate of 4.2% per year. Create a table showing the value of the quantity Q for the first 5 years or growth or decay.

Provide an appropriate response. -The following graph represents a function. Identify the independent and dependent variables and describe the domain and range.

Write a short statement that expresses a possible function between the given variables. -(grade of hill, speed of scooter)

What is comprised of the values of the independent variable?

Briefly discuss the conditions under which a linear function is a realistic model for the given situation. -

Briefly discuss the conditions under which a linear function is a realistic model for the given situation. -

Plot and label the given points. - $(1,6),(-4,-2)$

Provide an appropriate response. -The population of a town with an initial population of 62,300 is decreasing at a rate of 3.2% per year. Make a graph of the exponential function.

For the given function: a)Describe an appropriate domain and range for the function. b)Make a rough sketch of a graph of the function. c)Briefly discuss the validity of your graph as a model of the true function. -(miles ran per week, 5K time)

Thinking Critically

Approaches to Problem Solving

Numbers in the Real World

Managing Money

Statistical Reasoning

Putting Statistics to Work

Probability: Living With the Odds

Exponential Astonishment

Modeling With Geometry

Mathematics and the Arts

Filters

Exam 9: Modeling Our World

A linear function has a varying rate of change and a curved graph.

A certain drug is eliminated from the bloodstream exponentially with a half-life of 60 hours. Suppose that a patient receives an initial dose of 10 milligrams of the drug at midnight. Estimate When the drug concentration will reach 20% of its initial level.

Provide an appropriate response. -The following graph represents a function. Describe the function in words.

Briefly discuss the conditions under which a linear function is a realistic model for the given situation. -

Plot and label the given points. - (5,6),(−1,4)(5,6),(-1,4)(5,6),(−1,4)

Plot and label the given points. - (0,6),(0,1)( 0,6 ) , ( 0,1 )(0,6),(0,1)

Provide an appropriate response. - Q=Q0×2t/T double \mathrm { Q } = \mathrm { Q } _ { 0 } \times 2 ^ { \mathrm { t } / \mathrm { T } \text { double } }Q=Q0​×2t/T double is the equation for______

The population of a town with an initial population of 60,196 is decreasing at a rate of 4.2% per year. Create a table showing the value of the quantity Q for the first 5 years or growth or decay.

Provide an appropriate response. -The following graph represents a function. Identify the independent and dependent variables and describe the domain and range.

Write a short statement that expresses a possible function between the given variables. -(grade of hill, speed of scooter)

What is comprised of the values of the independent variable?

Briefly discuss the conditions under which a linear function is a realistic model for the given situation. -

Briefly discuss the conditions under which a linear function is a realistic model for the given situation. -

Plot and label the given points. - (1,6),(−4,−2)(1,6),(-4,-2)(1,6),(−4,−2)

Provide an appropriate response. -The population of a town with an initial population of 62,300 is decreasing at a rate of 3.2% per year. Make a graph of the exponential function.

For the given function: a)Describe an appropriate domain and range for the function. b)Make a rough sketch of a graph of the function. c)Briefly discuss the validity of your graph as a model of the true function. -(miles ran per week, 5K time)

Thinking Critically

Approaches to Problem Solving

Numbers in the Real World

Managing Money

Statistical Reasoning

Putting Statistics to Work

Probability: Living With the Odds

Exponential Astonishment

Modeling With Geometry

Mathematics and the Arts

Filters

Plot and label the given points. - $(5,6),(-1,4)$

Plot and label the given points. - $( 0,6 ) , ( 0,1 )$

Provide an appropriate response. - $\mathrm { Q } = \mathrm { Q } _ { 0 } \times 2 ^ { \mathrm { t } / \mathrm { T } \text { double } }$ is the equation for______

Plot and label the given points. - $(1,6),(-4,-2)$