Yuting6/geoqa-r1v-8k-rotated huggingface dataset:
Problem: <image>Question: The acronym AMC is shown in the rectangular grid below with grid lines spaced $1$ unit apart. In units, what is the sum of the lengths of the line segments that form the acronym AMC$?$

<image1>
Choices:
A. $17$
B. $15 + 2\sqrt{2}$
C. $13 + 4\sqrt{2}$
D. $11 + 6\sqrt{2}$
E. $21$
Answer: C
Problem: <image>Question: In the plane figure shown below, $3$ of the unit squares have been shaded. What is the least number of additional unit squares that must be shaded so that the resulting figure has two lines of symmetry$?$

<image1>
Answer: 7
Problem: <image>Question: In the figure, equilateral hexagon $ABCDEF$ has three nonadjacent acute interior angles that each measure $30^\circ$. The enclosed area of the hexagon is $6\sqrt{3}$. What is the perimeter of the hexagon?
<image1>
Choices:
A. 4
B. $4\sqrt{3}$
C. 12
D. 18
E. $12\sqrt{3}$
Answer: E
Problem: <image>Question: Let $ABCD$ be an isosceles trapezoid with $\overline{BC}\parallel \overline{AD}$ and $AB=CD$. Points $X$ and $Y$ lie on diagonal $\overline{AC}$ with  $X$ between $A$ and $Y$, as shown in the figure. Suppose $\angle AXD = \angle BYC = 90^\circ$, $AX = 3$, $XY = 1$, and $YC = 2$. What is the area of $ABCD?$

<image1>
Choices:
A. $15$
B. $5\sqrt{11}$
C. $3\sqrt{35}$
D. $18$
E. $7\sqrt{7}$
Answer: C
Problem: <image>Question: Let $ABCD$ be an isoceles trapezoid having parallel bases $\overline{AB}$ and $\overline{CD}$ with $AB>CD$. Line segments from a point inside $ABCD$ to the vertices divide the trapezoid into four triangles whose areas are $2, 3, 4,$ and $5$ starting with the triangle with base $\overline{CD}$ and moving clockwise as shown in the diagram below. What is the ratio $\frac{AB}{CD}?$

<image1>
Choices:
A. $3$
B. $2+\sqrt{2}$
C. $1+\sqrt{6}$
D. $2\sqrt{3}$
E. $3\sqrt{2}$
Answer: B
Problem: <image>Question: Let $ABCD$ be a parallelogram with area $15$. Points $P$ and $Q$ are the projections of $A$ and $C,$ respectively, onto the line $BD;$ and points $R$ and $S$ are the projections of $B$ and $D,$ respectively, onto the line $AC$. See the figure, which also shows the relative locations of these points.
<image1>

Suppose $PQ=6$ and $RS=8,$ and let $d$ denote the length of $\overline{BD},$ the longer diagonal of $ABCD$. Then $d^2$ can be written in the form $m+n\sqrtp,$ where $m,n,$ and $p$ are positive integers and $p$ is not divisible by the square of any prime. What is $m+n+p?$
Answer: 81
Problem: <image>Question: Five rectangles, $A$, $B$, $C$, $D$, and $E$, are arranged in a square as shown below. These rectangles have dimensions $1\times6$, $2\times4$, $5\times6$, $2\times7$, and $2\times3$, respectively. (The figure is not drawn to scale.) Which of the five rectangles is the shaded one in the middle?
<image1>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: B
Problem: <image>Question: In $\triangle{ABC}$ medians $\overline{AD}$ and $\overline{BE}$ intersect at $G$ and $\triangle{AGE}$ is equilateral. Then $\cos(C)$ can be written as $\frac{m\sqrtp}n$, where $m$ and $n$ are relatively prime positive integers and $p$ is a positive integer not divisible by the square of any prime. What is $m+n+p?$
<image1>
Answer: 44
Problem: <image>Question: The figure below depicts a regular 7-gon inscribed in a unit circle.
<image1>
What is the sum of the 4th powers of the lengths of all 21 of its edges and diagonals?
Answer: 147
Problem: <image>Question: Four regular hexagons surround a square with a side length $1$, each one sharing an edge with the square, as shown in the figure below. The area of the resulting 12-sided outer nonconvex polygon can be written as $m\sqrt{n} + p$, where $m$, $n$, and $p$ are integers and $n$ is not divisible by the square of any prime. What is $m + n + p$?

<image1>
Answer: -4
Problem: <image>Question: Usain is walking for exercise by zigzagging across a $100$-meter by $30$-meter rectangular field, beginning at point $A$ and ending on the segment $\overline{BC}$. He wants to increase the distance walked by zigzagging as shown in the figure below $(APQRS)$. What angle $\theta=\angle PAB=\angle QPC=\angle RQB=\cdots$ will produce in a length that is $120$ meters? (Do not assume the zigzag path has exactly four segments as shown; there could be more or fewer.)

<image1>
Choices:
A. $\arccos\frac{5}{6}$
B. $\arccos\frac{4}{5}$
C. $\arccos\frac{3}{10}$
D. $\arcsin\frac{4}{5}$
E. $\arcsin\frac{5}{6}$
Answer: A
Problem: <image>Question: Rows 1, 2, 3, 4, and 5 of a triangular array of integers are shown below:
<image1>

Each row after the first row is formed by placing a 1 at each end of the row, and each interior entry is 1 greater than the sum of the two numbers diagonally above it in the previous row. What is the units digit of the sum of the 2023 numbers in the 2023rd row?
Answer: 5
Problem: <image>Question: ﻿A lampshade is made in the form of the lateral surface of the frustum of a right circular cone. The height of the frustum is $3\sqrt{3}$ inches, its top diameter is 6 inches, and its bottom diameter is 12 inches. A bug is at the bottom of the lampshade and there is a glob of honey on the top edge of the lampshade at the spot farthest from the bug. The bug wants to crawl to the honey, but it must stay on the surface of the lampshade. What is the length in inches of its shortest path to the honey?

<image1>
Choices:
A. $6 + 3\pi$
B. $6 + 6\pi$
C. $6\sqrt{3}$
D. $6\sqrt{5}$
E. $6\sqrt{3} + \pi$
Answer: E
Problem: <image>Question: What is the area of polygon $ ABCDEF$?

<image1>
Answer: 46
Problem: <image>Question: <image1>

The bar graph shows the grades in a mathematics class for the last grading period.  If A, B, C, and D are satisfactory grades, what fraction of the grades shown in the graph are satisfactory?
Choices:
A. $\frac{1}{2}$
B. $\frac{2}{3}$
C. $\frac{3}{4}$
D. $\frac{4}{5}$
E. $\frac{9}{10}$
Answer: C
Problem: <image>Question: <image1>

A "stair-step" figure is made up of alternating black and white squares in each row.  Rows $ 1$ through $ 4$ are shown.  All rows begin and end with a white square.  The number of black squares in the $ 37$th row is
Answer: 36
Problem: <image>Question: <image1>

A piece of paper containing six joined squares labeled as shown in the diagram is folded along the edges of the squares to form a cube.  The label of the face opposite the face labeled $ \text{X}$ is:
Choices:
A. $\text{Z}$
B. $\text{U}$
C. $\text{V}$
D. $\text{W}$
E. $\text{Y}$
Answer: E
Problem: <image>Question: <image1>

In a magic triangle, each of the six whole numbers $ 10-15$ is placed in one of the circles so that the sum, $ S$, of the three numbers on each side of the triangle is the same.  The largest possible value for $ S$ is
Answer: 39
Problem: <image>Question: <image1>

Five cards are lying on a table as shown.  Each card has a letter on one side and a whole number on the other side.  Jane said, "If a vowel is on one side of any card, then an even number is on the other side."  Mary showed Jane was wrong by turning over one card.  Which card did Mary turn over?
Choices:
A. $3$
B. $4$
C. $6$
D. $\text{P}$
E. $\text{Q}$
Answer: A
Problem: <image>Question: <image1>

Using only the paths and the directions shown, how many different routes are there from $ M$ to $ N$?
Answer: 6
Problem: <image>Question: <image1>

The table displays the grade distribution of the $ 30$ students in a mathematics class on the last two tests.  For example, exactly one student received a "D" on Test 1 and a "C" on Test 2.  What percent of the students received the same grade on both tests?
Choices:
A. $12 \%$
B. $25 \%$
C. $33 \frac{1}{3} \%$
D. $40 \%$
E. $50 \%$
Answer: D
Problem: <image>Question: <image1>

Given that all angles shown are marked, the perimeter of the polygon shown is
Choices:
A. $14$
B. $20$
C. $28$
D. $48$
E. $\text{cannot be determined from the information given}$
Answer: C
Problem: <image>Question: <image1>

A bar graph shows the number of hamburgers sold by a fast food chain each season.  However, the bar indicating the number sold during the winter is covered by a smudge.  If exactly $ 25 \%$ of the chain's hamburgers are sold in the fall, how many million hamburgers are sold in the winter?
Answer: 2.5
Problem: <image>Question: <image1>

Suppose one of the eight lettered identical squares is included with the four squares in the T-shaped figure outlined.  How many of the resulting figures can be folded into a topless cubical box?
Answer: 6
Problem: <image>Question: <image1>

The large circle has diameter $ \overline{AC}$.  The two small circles have their centers on $ \overline{AC}$ and just touch at $ O$, the center of the large circle.  If each small circle has radius $ 1$, what is the value of the ratio of the area of the shaded region to the area of one of the small circles?
Choices:
A. $\text{between }\frac{1}{2} \text{ and }1$
B. $1$
C. $\text{between 1 and }\frac{3}{2}$
D. $\text{between }\frac{3}{2} \text{ and }2 \\$
E. $\text{cannot be determined from the information given}$
Answer: B
Problem: <image>Question: The area of the rectangular region is

<image1>
Choices:
A. $\text{.088 m}^2$
B. $\text{.62 m}^2$
C. $\text{.88 m}^2$
D. $\text{1.24 m}^2$
E. $\text{4.22 m}^2$
Answer: A
Problem: <image>Question: The large cube shown is made up of $27$ identical sized smaller cubes.  For each face of the large cube, the opposite face is shaded the same way.  The total number of smaller cubes that must have at least one face shaded is
<image1>
Answer: 20
Problem: <image>Question: What fraction of the large $12$ by $18$ rectangular region is shaded?

<image1>
Choices:
A. $\frac{1}{108}$
B. $\frac{1}{18}$
C. $\frac{1}{12}$
D. $\frac{2}{9}$
E. $\frac{1}{3}$
Answer: C
Problem: <image>Question: $\text{ABCD}$ is a rectangle, $\text{D}$ is the center of the circle, and $\text{B}$ is on the circle.  If $\text{AD}=4$ and $\text{CD}=3$, then the area of the shaded region is between

<image1>
Choices:
A. $4\text{ and }5$
B. $5\text{ and }6$
C. $6\text{ and }7$
D. $7\text{ and }8$
E. $8\text{ and }9$
Answer: D
Problem: <image>Question: The diagram shows part of a scale of a measuring device. The arrow indicates an approximate reading of
<image1>
Choices:
A. 10.05
B. 10.15
C. 10.25
D. 10.3
E. 10.6
Answer: B
Problem: <image>Question: The figure consists of alternating light and dark squares.
<image1>
The number of dark squares exceeds the number of light squares by
Answer: 11
Problem: <image>Question: If $ \angle\text{CBD} $ is a right angle, then this protractor indicates that the measure of $ \angle\text{ABC} $ is approximately

<image1>
Choices:
A. $20^\circ$
B. $40^\circ$
C. $50^\circ$
D. $70^\circ$
E. $120^\circ$
Answer: B
Problem: <image>Question: An isosceles triangle is a triangle with two sides of equal length. How many of the five triangles on the square grid below are isosceles?

<image1>
Answer: 3
Problem: <image>Question: <image1>

Placing no more than one $x$ in each small square, what is the greatest number of $x$'s that can be put on the grid shown without getting three $x$'s in a row vertically, horizontally, or diagonally?
Answer: 3
Problem: <image>Question: The shaded region formed by the two intersecting perpendicular rectangles, in square units, is

<image1>
Choices:
A. $23$
B. $38$
C. $44$
D. $46$
E. $\text{unable to be determined from the information given}$
Answer: C
Problem: <image>Question: The glass gauge on a cylindrical coffee maker shows that there are 45 cups left when the coffee maker is $36\%$ full. How many cups of coffee does it hold when it is full?

<image1>
Answer: 130
Problem: <image>Question: <image1>

The square in the first diagram "rolls" clockwise around the fixed regular hexagon until it reaches the bottom. In which position will the solid triangle be in diagram $4$?

<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: E
Problem: <image>Question: If the markings on the number line are equally spaced, what is the number $\text{y}$?

<image1>
Answer: 12
Problem: <image>Question: Which of the five "T-like shapes" would be symmetric to the one shown with respect to the dashed line?

<image1>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: B
Problem: <image>Question: The area of the shaded region $\text{BEDC}$ in parallelogram $\text{ABCD}$ is

<image1>
Answer: 64
Problem: <image>Question: The graph below shows the total accumulated dollars (in millions) spent by the Surf City government during $1988$.  For example, about $.5$ million had been spent by the beginning of February and approximately $2$ million by the end of April.  Approximately how many millions of dollars were spent during the summer months of June, July, and August?
<image1>
Answer: 2.5
Problem: <image>Question: The figure may be folded along the lines shown to form a number cube.  Three number faces come together at each corner of the cube.  What is the largest sum of three numbers whose faces come together at a corner?

<image1>
Answer: 14
Problem: <image>Question: An artist has $14$ cubes, each with an edge of $1$ meter.  She stands them on the ground to form a sculpture as shown.  She then paints the exposed surface of the sculpture.  How many square meters does she paint?
<image1>
Answer: 33
Problem: <image>Question: Suppose a square piece of paper is folded in half vertically.  The folded paper is then cut in half along the dashed line.  Three rectangles are formed-a large one and two small ones.  What is the ratio of the perimeter of one of the small rectangles to the perimeter of the large rectangle?
<image1>
Choices:
A. $\frac{1}{2}$
B. $\frac{2}{3}$
C. $\frac{3}{4}$
D. $\frac{4}{5}$
E. $\frac{5}{6}$
Answer: E
Problem: <image>Question: Every time these two wheels are spun, two numbers are selected by the pointers.  What is the probability that the sum of the two selected numbers is even?
<image1>
Choices:
A. $\frac{1}{6}$
B. $\frac{3}{7}$
C. $\frac{1}{2}$
D. $\frac{2}{3}$
E. $\frac{5}{7}$
Answer: C
Problem: <image>Question: What is the smallest sum of two $3$-digit numbers that can be obtained by placing each of the six digits $ 4,5,6,7,8,9 $ in one of the six boxes in this addition problem?

<image1>
Answer: 1047
Problem: <image>Question: What fraction of the square is shaded?

<image1>
Choices:
A. $\frac{1}{3}$
B. $\frac{2}{5}$
C. $\frac{5}{12}$
D. $\frac{3}{7}$
E. $\frac{1}{2}$
Answer: E
Problem: <image>Question: On this monthly calendar, the date behind one of the letters is added to the date behind $C$. If this sum equals the sum of the dates behind $A$ and $B$, then the letter is

<image1>
Choices:
A. $\text{P}$
B. $\text{Q}$
C. $\text{R}$
D. $\text{S}$
E. $\text{T}$
Answer: A
Problem: <image>Question: The numbers on the faces of this cube are consecutive whole numbers. The sums of the two numbers on each of the three pairs of opposite faces are equal. The sum of the six numbers on this cube is

<image1>
Answer: 81
Problem: <image>Question: The area of this figure is $ 100\text{ cm}^{2} $. Its perimeter is


<image1>
Choices:
A. $\text{20 cm}$
B. $\text{25 cm}$
C. $\text{30 cm}$
D. $\text{40 cm}$
E. $\text{50 cm}$
Answer: E
Problem: <image>Question: Each corner of a rectangular prism is cut off. Two (of the eight) cuts are shown. How many edges does the new figure have?
<image1>
Answer: 36
Problem: <image>Question: The graph relates the distance traveled [in miles] to the time elapsed [in hours] on a trip taken by an experimental airplane. During which hour was the average speed of this airplane the largest?

<image1>
Choices:
A. $\text{first (0-1)}$
B. $\text{second (1-2)}$
C. $\text{third (2-3)}$
D. $\text{ninth (8-9)}$
E. $\text{last (11-12)}$
Answer: B
Problem: <image>Question: Three $ \Delta $'s and a $ \diamondsuit $ will balance nine $ \bullet $'s. One $ \Delta $ will balance a $ \diamondsuit $ and a $ \bullet $.
<image1>

How many $ \bullet $'s will balance the two $ \diamondsuit $'s in this balance?
<image2>
Answer: 3
Problem: <image>Question: How many different patterns can be made by shading exactly two of the nine squares? Patterns that can be matched by flips and/or turns are not considered different. For example, the patterns shown below are not considered different.

<image1>
Answer: 8
Problem: <image>Question: A "domino" is made up of two small squares:
<image1>
Which of the "checkerboards" illustrated below CANNOT be covered exactly and completely by a whole number of non-overlapping dominoes?

<image2>
Choices:
A. $3\times 4$
B. $3\times 5$
C. $4\times 4$
D. $4\times 5$
E. $6\times 3$
Answer: B
Problem: <image>Question: The area in square units of the region enclosed by parallelogram $ABCD$ is

<image1>
Answer: 8
Problem: <image>Question: All six sides of a rectangular solid were rectangles.  A one-foot cube was cut out of the rectangular solid as shown.  The total number of square feet in the surface of the new solid is how many more or less than that of the original solid?

<image1>
Choices:
A. $2\text{ less}$
B. $1\text{ less}$
C. $\text{the same}$
D. $1\text{ more}$
E. $2\text{ more}$
Answer: C
Problem: <image>Question: The $16$ squares on a piece of paper are numbered as shown in the diagram.  While lying on a table, the paper is folded in half four times in the following sequence:

fold the top half over the bottom half
fold the bottom half over the top half
fold the right half over the left half
fold the left half over the right half.

Which numbered square is on top after step $4$?

<image1>
Answer: 9
Problem: <image>Question: The vertical axis indicates the number of employees, but the scale was accidentally omitted from this graph.  What percent of the employees at the Gauss company have worked there for $5$ years or more?

<image1>
Choices:
A. $9\%$
B. $23\frac{1}{3}\%$
C. $30\%$
D. $42\frac{6}{7}\%$
E. $50\%$
Answer: C
Problem: <image>Question: In the addition problem, each digit has been replaced by a letter.  If different letters represent different digits then $C=$

<image1>
Answer: 1
Problem: <image>Question: Each spinner is divided into $3$ equal parts.  The results obtained from spinning the two spinners are multiplied.  What is the probability that this product is an even number?

<image1>
Choices:
A. $\frac{1}{3}$
B. $\frac{1}{2}$
C. $\frac{2}{3}$
D. $\frac{7}{9}$
E. $1$
Answer: D
Problem: <image>Question: An equilateral triangle is originally painted black.  Each time the triangle is changed, the middle fourth of each black triangle turns white.  After five changes, what fractional part of the original area of the black triangle remains black?

<image1>
Choices:
A. $\frac{1}{1024}$
B. $\frac{15}{64}$
C. $\frac{243}{1024}$
D. $\frac{1}{4}$
E. $\frac{81}{256}$
Answer: C
Problem: <image>Question: A circle of diameter $1$ is removed from a $2\times 3$ rectangle, as shown.  Which whole number is closest to the area of the shaded region?

<image1>
Choices:
A. 1
B. 2
C. 3
D. 4
E. 5
Answer: E
Problem: <image>Question: Suppose that
<image1>
means $a+b-c$.
For example,
<image2>
is $5+4-6 = 3$.
Then the sum
<image3>
is
Answer: 1
Problem: <image>Question: The population of a small town is $480$.  The graph indicates the number of females and males in the town, but the vertical scale-values are omitted.  How many males live in the town?

<image1>
Answer: 160
Problem: <image>Question: An isosceles right triangle with legs of length $8$ is partitioned into $16$ congruent triangles as shown.  The shaded area is

<image1>
Answer: 20
Problem: <image>Question: The bar graph shows the results of a survey on color preferences.  What percent preferred blue?

<image1>
Choices:
A. $20\%$
B. $24\%$
C. $30\%$
D. $36\%$
E. $42\%$
Answer: B
Problem: <image>Question: <image1>

Which cylinder has twice the volume of the cylinder shown above?

<image2>
Choices:
A. A
B. B
C. C
D. D
E. None of the above
Answer: B
Problem: <image>Question: The sides of a triangle have lengths $6.5$, $10$, and $s$, where $s$ is a whole number.  What is the smallest possible value of $s$?

<image1>
Answer: 4
Problem: <image>Question: Which pattern of identical squares could NOT be folded along the lines shown to form a cube?

<image1>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: D
Problem: <image>Question: Northside's Drum and Bugle Corps raised money for a trip.  The drummers and bugle players kept separate sales records.  According to the double bar graph, in what month did one group's sales exceed the other's by the greatest percent?

<image1>
Choices:
A. $\text{Jan}$
B. $\text{Feb}$
C. $\text{Mar}$
D. $\text{Apr}$
E. $\text{May}$
Answer: B
Problem: <image>Question: Eight $1\times 1$ square tiles are arranged as shown so their outside edges form a polygon with a perimeter of $14$ units.  Two additional tiles of the same size are added to the figure so that at least one side of each tile is shared with a side of one of the squares in the original figure.  Which of the following could be the perimeter of the new figure?

<image1>
Choices:
A. 15
B. 17
C. 18
D. 19
E. 20
Answer: C
Problem: <image>Question: Four circles of radius $3$ are arranged as shown.  Their centers are the vertices of a square.  The area of the shaded region is closest to

<image1>
Answer: 7.7
Problem: <image>Question: Which one of the following bar graphs could represent the data from the circle graph?
<image1>

<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: C
Problem: <image>Question: This line graph represents the price of a trading card during the first $6$ months of $1993$.
<image1>

The greatest monthly drop in price occurred during
Choices:
A. $\text{January}$
B. $\text{March}$
C. $\text{April}$
D. $\text{May}$
E. $\text{June}$
Answer: B
Problem: <image>Question: Consider this histogram of the scores for $81$ students taking a test:
<image1>

The median is in the interval labeled
Answer: 70
Problem: <image>Question: The word "'''HELP'''" in block letters is painted in black with strokes $1$ unit wide on a $5$ by $15$ rectangular white sign with dimensions as shown.  The area of the white portion of the sign, in square units, is

<image1>
Answer: 36
Problem: <image>Question: Square corners, $5$ units on a side, are removed from a $20$ unit by $30$ unit rectangular sheet of cardboard.  The sides are then folded to form an open box.  The surface area, in square units, of the interior of the box is

<image1>
Answer: 500
Problem: <image>Question: The rectangle shown has length $AC=32$, width $AE=20$, and $B$ and $F$ are midpoints of $\overline{AC}$ and $\overline{AE}$, respectively.  The area of quadrilateral $ABDF$ is

<image1>
Answer: 320
Problem: <image>Question: Which of the following represents the result when the figure shown below is rotated clockwise $120^\circ$ about its center?
<image1>

<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: B
Problem: <image>Question: If $\angle A = 60^\circ $, $\angle E = 40^\circ $ and $\angle C = 30^\circ $, then $\angle BDC = $

<image1>
Choices:
A. $40^\circ$
B. $50^\circ$
C. $60^\circ$
D. $70^\circ$
E. $80^\circ$
Answer: B
Problem: <image>Question: Each of the three large squares shown below is the same size.  Segments that intersect the sides of the squares intersect at the midpoints of the sides.  How do the shaded areas of these squares compare?

<image1>
Choices:
A. $\text{The shaded areas in all three are equal.}$
B. $\text{Only the shaded areas of }I\text{ and }II\text{ are equal.}$
C. $\text{Only the shaded areas of }I\text{ and }III\text{ are equal.}$
D. $\text{Only the shaded areas of }II\text{ and }III\text{ are equal.}$
E. $\text{The shaded areas of }I, II\text{ and }III\text{ are all different.}$
Answer: A
Problem: <image>Question: If this path is to continue in the same pattern:
<image1>

then which sequence of arrows goes from point $425$ to point $427$?

<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: A
Problem: <image>Question: Mike leaves home and drives slowly east through city traffic.  When he reaches the highway he drives east more rapidly until he reaches the shopping mall where he stops.  He shops at the mall for an hour.  Mike returns home by the same route as he came, driving west rapidly along the highway and then slowly through city traffic.  Each graph shows the distance from home on the vertical axis versus the time elapsed since leaving home on the horizontal axis.  Which graph is the best representation of Mike's trip?

<image1>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: B