Question 1

Solve the problem.
-Some of the results of an analysis, on the makeup of garbage, are given in the following table. The table displays various years which gives the number of pounds per person per day of various types of waste materials.

For plastics, calculate the average rates of change between consecutive data points in the table. Interpret the mea your results.
A) The rate of increase decreases from each decade to the next.
B) The rate of increase increases from each decade to the next.
C) The rate of increase decreases during the 1990 's, but then increases during 2000-2008.
D) The rate of increase increases during the 1990 's, but then decreases during the 2000-2008.

Accepted Answer

B

Question 2

Match the numerical model to the corresponding model.
-$\begin{array}{r|rrrrrr}
\mathrm{x} & 3 & 4 & 5 & 6 & 7 & 8 \
\hline \mathrm{y} & 11 & 14 & 17 & 20 & 23 & 26
\end{array}$

A)

B)

C)

D)

Accepted Answer

C

Question 3

Match the numerical model to the corresponding model.
-$\begin{array}{r|rrrrrr}
\mathrm{x} & 0 & 1 & 2 & 3 & 4 & 5 \
\hline \mathrm{y} & 25 & 22 & 19 & 16 & 13 & 10
\end{array}$

A)

B)

C)

D)

Accepted Answer

C

Question 4

Match the numerical model to the corresponding model.
-$\begin{array}{l|lrrrr}
x & 135 & 7 & 9 & 11 \
\hline y & 2 & 0 & 6 & 20 & 4272
\end{array}$
A) $y = ( x - 2 ) ( x - 3 )$
B) $y = x ^ { 2 } + 5 x + 6$
C) $y = x ^ { 2 } - 5 x - 6$
D) $y = ( x + 2 ) ( x + 3 )$

Accepted Answer

The model $y = ( x - 2 ) ( x - 3 )$ correctly matches the given data points. For example, when $x = 7$, $y = (7 - 2)(7 - 3) = 5 \times 4 = 20$, which matches the table.

Question 5

Solve the problem.
-The graph depicts a person's speed $y$, in miles per hour, during a 15 -minute period of driving.
The graph has two turning points.The first turning point is the point at which the graph stops rising and starts to The second turning point is the point at which the graph stops falling and starts to rise again.
Estimate and interpret the turning points.

A) The first turning point is at approximately $( 5,43 )$. This is where the person's distance from the starting point stops increasing and starts to decrease. The second turning point is at approximately $( 12,24 )$. This is where the person's distance from the starting point stops decreasing and starts to increase again.
B) The first turning point is at approximately $( 4,43 )$. This is where the person's distance from the starting point stops increasing and starts to decrease. The second turning point is at approximately $( 11,24 )$. This is where the person's distance from the starting point stops decreasing and starts to increase again.
C) The first turning point is at approximately $( 5,43 )$. This is where the person's speed first stops increasing and starts to decrease. The second turning point is at approximately $( 12,24 )$. This is where the person's speed stops decreasing and starts to increase again.
D) The first turning point is at approximately $( 6,43 )$. This is where the person's speed first stops increasing and starts to decrease. The second turning point is at approximately $( 13,24 )$. This is where the person's speed stops decreasing and starts to increase again.

Accepted Answer

The answer of Solve the problem.
-The graph depicts a person's...

Question 6

Solve the problem.
-The following data set gives the average home value, in dollars, for a city at 5 -year intervals.

Determine where $f$ is increasing or decreasing.
A) $\mathrm { f }$ is constant for the given $\mathrm { x }$-values.
B) $f$ is increasing until 1980, then decreasing for remainder of $x$-values.
C) $\mathrm { f }$ is decreasing for the given $x$-values.
D) $f$ is increasing for the given $x$-values.

Accepted Answer

The answer of Solve the problem.
-The following data set gives...

Question 7

Match the numerical model to the corresponding model.
-

A)

B)

C)

D)

Accepted Answer

The answer of Match the numerical model to the corresponding...

Question 8

Solve the problem.
-The following data set gives the average home value, in dollars, for a city at 5 -year intervals.

In which 5 -year period did average home value change the most?
A) 2000-2005
B) $1985 - 1990$
C) $1995 - 2000$
D) $1990 - 1995$

Accepted Answer

The answer of Solve the problem.
-The following data set gives...

Question 9

Match the numerical model to the corresponding model.
-$\begin{array}{r|rrrrrr}
x & 0 & 3 & 8 & 15 & 24 & 35 \
\hline y & 1 & 2 & 3 & 4 & 5 & 6
\end{array}$

A)

B)

C)

D)

Accepted Answer

The answer of Match the numerical model to the corresponding...

Question 10

Solve the problem.
-The graph shows the relationship between the area A of a rectangle and the length $L$, if the width is fixed. Find the area if the length is $20 \mathrm {~cm}$.

A) $180 \mathrm {~cm} ^ { 2 }$
B) $170 \mathrm {~cm} ^ { 2 }$
C) $220 \mathrm {~cm} ^ { 2 }$
D) $200 \mathrm {~cm} ^ { 2 }$

Accepted Answer

The answer of Solve the problem.
-The graph shows the relationship...

Question 11

Solve the problem.
-Some of the results of an analysis, on the makeup of garbage, are given in the following table. The table displays various years which gives the number of pounds per person per day of various types of waste materials.

For glass, calculate the average rate of change between 1990 and 2000 . Then interpret what this value means.
A) From 1990 to 2000 , the number of pounds of glass per person per day decreased by $0.002$ per year.
B) From 1990 to 2000, the number of pounds of glass per person per day increased by $0.002$ per year.
C) From 1990 to 2000 , the number of pounds of glass per person per day increased by $0.11$ per year.
D) From 1990 to 2000 , the number of pounds of glass per person per day decreased by $0.11$ per year.

Accepted Answer

The answer of Solve the problem.
-Some of the results of...

Question 12

Match the numerical model to the corresponding model.
-$\begin{array}{r|rrrrrr}
\mathrm{x} & 0 & 1 & 2 & 3 & 4 & 5 \
\hline \mathrm{y} & 60 & 58 & 52 & 42 & 28 & 10
\end{array}$

A) $y = 60 - 2 x ^ { 2 }$
B) $y = 60 - 2 x$
C) $y = x + 60$
D) $y = 60 - x ^ { 2 }$

Accepted Answer

The correct model is $y = 60 - 2x^2$. This is because the change in y for each increase in x is consistent with the pattern of subtracting twice the square of x from 60. For example, when x=2, $y = 60 - 2(2)^2 = 60 - 8 = 52$, which matches the given data.

Question 13

Solve the problem.
-The following data set gives the average home value, in dollars, for a city at 5 -year intervals.

Determine where $f$ is increasing or decreasing.
A) $f$ is decreasing for the given $x$ values.
B) $f$ is increasing for the given $x$-values.
C) $f$ is constant for the given $x$-values.
D) $f$ is increasing until 1980, then $f$ is decreasing for remainder of $x$-values.

Accepted Answer

The answer of Solve the problem.
-The following data set gives...

Question 14

Match the numerical model to the corresponding model.
-

A) $y = 7 x - 7$
B) $y = 5 x - 1$
C) $y = 3 x + 5$
D) $y = 6 x - 4$

Accepted Answer

The answer of Match the numerical model to the corresponding...

Question 15

Match the numerical model to the corresponding model.
-$\begin{array}{l|lllllll}
x & 2 & 9 & 16 & 23 & 30 & 37 \
\hline y & 1 & 2 & 3 & 4 & 5 & 6
\end{array}$

A) $y = \frac { x + 5 } { 5 }$
B) $y = \frac { x = 7 } { 5 }$
C) $y = \frac { 7 - x } { 5 }$
D) $y = \frac { x + 5 } { 7 }$

Accepted Answer

The answer of Match the numerical model to the corresponding...

Question 16

Solve the problem.
-A rock is thrown vertically upward from the surface of the moon at a velocity of $32 \mathrm {~m} / \mathrm { sec }$. The graph shows the height $y$ of the rock, in meters, after $x$ seconds. Estimate and interpret the turning point (the point at which the graph reaches its maximum value).

A) The turning point is at approximately $( 40,320 )$. This is the point at which the rock reaches its maximum height and starts to fall back towards the surface of the moon.
B) The turning point is at approximately $( 20,320 )$. This is the point at which the rock reaches its maximum height and starts to fall back towards the surface of the moon.
C) The turning point is at approximately $( 40,0 )$. This is the point at which the rock reaches the surface of the moon again.
D) The turning point is at approximately $( 20,320 )$. This is the point at which the rock reaches its maximum velocity and starts to slow down.

Accepted Answer

The answer of Solve the problem.
-A rock is thrown vertically...

Question 17

Solve the problem.
-Some of the results of an analysis, on the makeup of garbage, are given in the following table. The table displays various years which gives the number of pounds per person per day of various types of waste materials.

For paper, calculate the average rates of change between consecutive data points in the table. Interpret the meani your results.
A) The rate of increase slows down during the 1980's, but then increases during the 1990's and 2000-2008.
B) The rate of increase slows down during the 1990's, but then increases during 2000-2008.
C) The rate of increase increases during the 1990 's, but then decreases during 2000-2008.
D) The rate of increase stays the same from the 1980's through 2000-2008.

Accepted Answer

The answer of Solve the problem.
-Some of the results of...

Question 18

Match the numerical model to the corresponding model.
-$\begin{array}{c|rrrrrr}
x & 0 & 1 & 2 & 3 & 4 & 5 \
\hline y & 0 & 2 & 10 & 21 & 36 & 55
\end{array}$

A)

B)

C)

D)

Accepted Answer

The answer of Match the numerical model to the corresponding...

Question 19

Match the numerical model to the corresponding model.
-$\begin{array}{l|rrrrrr}
\mathrm{x} & 2 & 4 & 6 & 8 & 10 & 12 \
\hline \mathrm{y} & 10 & 20 & 30 & 40 & 50 & 60
\end{array}$

A) $y = \frac { 1 } { 5 } x$
B) $y = x + 5$
C) $y = 5 x + 1$
D) $y = 5 x$

Accepted Answer

The relationship between x and y is linear, with y increasing by 10 for every increase of 2 in x. This corresponds to a slope of 5, making the equation $y = 5x$.

Question 20

Solve the problem.
-The following information pertains to a bakery which makes donuts.

Make a scatterplot of the data. Based upon the scatterplot, what type of function would best model the data?
A) Constant function
B) Quadratic function
C) Linear function
D) All of the above

Accepted Answer

The answer of Solve the problem.
-The following information pertains to...

Quiz 1: Functions and Graphs

Match the numerical model to the corresponding model. - $\begin{array}{r|rrrrrr}\mathrm{x} & 3 & 4 & 5 & 6 & 7 & 8 \\\hline \mathrm{y} & 11 & 14 & 17 & 20 & 23 & 26\end{array}$

Match the numerical model to the corresponding model. - $\begin{array}{r|rrrrrr}\mathrm{x} & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \mathrm{y} & 25 & 22 & 19 & 16 & 13 & 10\end{array}$

Match the numerical model to the corresponding model. - $\begin{array}{l|lrrrr}x & 135 & 7 & 9 & 11 \\\hline y & 2 & 0 & 6 & 20 & 4272\end{array}$

Match the numerical model to the corresponding model. -

Solve the problem. -The following data set gives the average home value, in dollars, for a city at 5 -year intervals. In which 5 -year period did average home value change the most?

Match the numerical model to the corresponding model. - $\begin{array}{r|rrrrrr}x & 0 & 3 & 8 & 15 & 24 & 35 \\\hline y & 1 & 2 & 3 & 4 & 5 & 6\end{array}$

Match the numerical model to the corresponding model. - $\begin{array}{r|rrrrrr}\mathrm{x} & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \mathrm{y} & 60 & 58 & 52 & 42 & 28 & 10\end{array}$

Solve the problem. -The following data set gives the average home value, in dollars, for a city at 5 -year intervals. Determine where $f$ is increasing or decreasing.

Match the numerical model to the corresponding model. -

Match the numerical model to the corresponding model. - $\begin{array}{l|lllllll}x & 2 & 9 & 16 & 23 & 30 & 37 \\\hline y & 1 & 2 & 3 & 4 & 5 & 6\end{array}$

Match the numerical model to the corresponding model. - $\begin{array}{c|rrrrrr}x & 0 & 1 & 2 & 3 & 4 & 5 \\\hline y & 0 & 2 & 10 & 21 & 36 & 55\end{array}$

Match the numerical model to the corresponding model. - $\begin{array}{l|rrrrrr}\mathrm{x} & 2 & 4 & 6 & 8 & 10 & 12 \\\hline \mathrm{y} & 10 & 20 & 30 & 40 & 50 & 60\end{array}$

Solve the problem. -The following information pertains to a bakery which makes donuts. Make a scatterplot of the data. Based upon the scatterplot, what type of function would best model the data?

Quiz 1: Functions and Graphs

Match the numerical model to the corresponding model. - x345678y111417202326\begin{array}{r|rrrrrr}\mathrm{x} & 3 & 4 & 5 & 6 & 7 & 8 \\\hline \mathrm{y} & 11 & 14 & 17 & 20 & 23 & 26\end{array}xy​311​414​517​620​723​826​​

Match the numerical model to the corresponding model. - x012345y252219161310\begin{array}{r|rrrrrr}\mathrm{x} & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \mathrm{y} & 25 & 22 & 19 & 16 & 13 & 10\end{array}xy​025​122​219​316​413​510​​

Match the numerical model to the corresponding model. - x1357911y206204272\begin{array}{l|lrrrr}x & 135 & 7 & 9 & 11 \\\hline y & 2 & 0 & 6 & 20 & 4272\end{array}xy​1352​70​96​1120​4272​​

Solve the problem. -The following data set gives the average home value, in dollars, for a city at 5 -year intervals. Determine where fff is increasing or decreasing.

Match the numerical model to the corresponding model. -

Solve the problem. -The following data set gives the average home value, in dollars, for a city at 5 -year intervals. In which 5 -year period did average home value change the most?

Match the numerical model to the corresponding model. - x038152435y123456\begin{array}{r|rrrrrr}x & 0 & 3 & 8 & 15 & 24 & 35 \\\hline y & 1 & 2 & 3 & 4 & 5 & 6\end{array}xy​01​32​83​154​245​356​​

Solve the problem. -The graph shows the relationship between the area A of a rectangle and the length LLL , if the width is fixed. Find the area if the length is 20 cm20 \mathrm {~cm}20 cm .

Match the numerical model to the corresponding model. - x012345y605852422810\begin{array}{r|rrrrrr}\mathrm{x} & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \mathrm{y} & 60 & 58 & 52 & 42 & 28 & 10\end{array}xy​060​158​252​342​428​510​​

Solve the problem. -The following data set gives the average home value, in dollars, for a city at 5 -year intervals. Determine where fff is increasing or decreasing.

Match the numerical model to the corresponding model. -

Match the numerical model to the corresponding model. - x2916233037y123456\begin{array}{l|lllllll}x & 2 & 9 & 16 & 23 & 30 & 37 \\\hline y & 1 & 2 & 3 & 4 & 5 & 6\end{array}xy​21​92​163​234​305​376​​

Match the numerical model to the corresponding model. - x012345y0210213655\begin{array}{c|rrrrrr}x & 0 & 1 & 2 & 3 & 4 & 5 \\\hline y & 0 & 2 & 10 & 21 & 36 & 55\end{array}xy​00​12​210​321​436​555​​

Match the numerical model to the corresponding model. - x24681012y102030405060\begin{array}{l|rrrrrr}\mathrm{x} & 2 & 4 & 6 & 8 & 10 & 12 \\\hline \mathrm{y} & 10 & 20 & 30 & 40 & 50 & 60\end{array}xy​210​420​630​840​1050​1260​​

Solve the problem. -The following information pertains to a bakery which makes donuts. Make a scatterplot of the data. Based upon the scatterplot, what type of function would best model the data?

Match the numerical model to the corresponding model. - $\begin{array}{r|rrrrrr}\mathrm{x} & 3 & 4 & 5 & 6 & 7 & 8 \\\hline \mathrm{y} & 11 & 14 & 17 & 20 & 23 & 26\end{array}$

Match the numerical model to the corresponding model. - $\begin{array}{r|rrrrrr}\mathrm{x} & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \mathrm{y} & 25 & 22 & 19 & 16 & 13 & 10\end{array}$

Match the numerical model to the corresponding model. - $\begin{array}{l|lrrrr}x & 135 & 7 & 9 & 11 \\\hline y & 2 & 0 & 6 & 20 & 4272\end{array}$

Match the numerical model to the corresponding model. - $\begin{array}{r|rrrrrr}x & 0 & 3 & 8 & 15 & 24 & 35 \\\hline y & 1 & 2 & 3 & 4 & 5 & 6\end{array}$

Match the numerical model to the corresponding model. - $\begin{array}{r|rrrrrr}\mathrm{x} & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \mathrm{y} & 60 & 58 & 52 & 42 & 28 & 10\end{array}$

Solve the problem. -The following data set gives the average home value, in dollars, for a city at 5 -year intervals. Determine where $f$ is increasing or decreasing.

Match the numerical model to the corresponding model. - $\begin{array}{l|lllllll}x & 2 & 9 & 16 & 23 & 30 & 37 \\\hline y & 1 & 2 & 3 & 4 & 5 & 6\end{array}$

Match the numerical model to the corresponding model. - $\begin{array}{c|rrrrrr}x & 0 & 1 & 2 & 3 & 4 & 5 \\\hline y & 0 & 2 & 10 & 21 & 36 & 55\end{array}$

Match the numerical model to the corresponding model. - $\begin{array}{l|rrrrrr}\mathrm{x} & 2 & 4 & 6 & 8 & 10 & 12 \\\hline \mathrm{y} & 10 & 20 & 30 & 40 & 50 & 60\end{array}$