Found problems: 260
2025 AMC 8, 15
Kei draws a $6\times 6$ grid. He colors $13$ of the unit squares silver and the remaining squares gold. Kei then folds the grid in half vertically, forming pairs of overlapping unit squares. Let $m$ and $M$ the least and greatest possible number of gold-on-gold pairs, respectively. What is $m + M?$
$\textbf{(A) } 12 \qquad\textbf{(B) }14 \qquad\textbf{(C) }16\qquad\textbf{(D) }18 \qquad\textbf{(E) }20$\\
2024 AMC 8 -, 7
A $3 \times 7$ is covered without overlap by $3$ shapes of tiles: $2 \times 2$, $1 \times 4$, and $1 \times 1$, shown below. What is the minimum possible number of $1 \times 1$ tiles used?
[center][img width=70]https://wiki-images.artofproblemsolving.com//e/ee/2024-AMC8-q7.png[/img][/center]
$\textbf{(A) }1\qquad\textbf{(B) }2\qquad\textbf{(C) }3\qquad\textbf{(D) }4\qquad\textbf{(E) }5$
2024 AMC 8 -, 10
In January 1980 the Moana Loa Observation recorded carbon dioxide levels of 338 ppm (parts per million). Over the years the average carbon dioxide reading has increased by about 1.515 ppm each year. What is the expected carbon dioxide level in ppm in January 2030? Round your answer to the nearest integer.
$\textbf{(A) } 399\qquad\textbf{(B) } 414\qquad\textbf{(C) } 420\qquad\textbf{(D) } 444\qquad\textbf{(E) } 459$
2020 AMC 8 -, 13
Jamal has a drawer containing $6$ green socks, $18$ purple socks, and $12$ orange socks. After adding more purple socks, Jamal noticed that there is now a $60\%$ chance that a sock randomly selected from the drawer is purple. How many purple socks did Jamal add?
$\textbf{(A)}\ 6\qquad~~\textbf{(B)}\ 9\qquad~~\textbf{(C)}\ 12\qquad~~\textbf{(D)}\ 18\qquad~~\textbf{(E)}\ 24$
2022 AMC 8 -, 11
Henry the donkey has a very long piece of pasta. He takes a number of bites of pasta, each time eating $3$ inches of pasta from the middle of one piece. In the end, he has $10$ pieces of pasta whose total length is $17$ inches. How long, in inches, was the piece of pasta he started with?
$\textbf{(A)} ~34\qquad\textbf{(B)} ~38\qquad\textbf{(C)} ~41\qquad\textbf{(D)} ~44\qquad\textbf{(E)} ~47\qquad$
2017 AMC 8, 15
In the arrangement of letters and numerals below, by how many different paths can one spell AMC8? Beginning at the A in the middle, a path allows only moves from one letter to an adjacent (above, below, left, or right, but not diagonal) letter. One example of such a path is traced in the picture.
[asy]
fill((0.5, 4.5)--(1.5,4.5)--(1.5,2.5)--(0.5,2.5)--cycle,lightgray);
fill((1.5,3.5)--(2.5,3.5)--(2.5,1.5)--(1.5,1.5)--cycle,lightgray);
label("$8$", (1, 0));
label("$C$", (2, 0));
label("$8$", (3, 0));
label("$8$", (0, 1));
label("$C$", (1, 1));
label("$M$", (2, 1));
label("$C$", (3, 1));
label("$8$", (4, 1));
label("$C$", (0, 2));
label("$M$", (1, 2));
label("$A$", (2, 2));
label("$M$", (3, 2));
label("$C$", (4, 2));
label("$8$", (0, 3));
label("$C$", (1, 3));
label("$M$", (2, 3));
label("$C$", (3, 3));
label("$8$", (4, 3));
label("$8$", (1, 4));
label("$C$", (2, 4));
label("$8$", (3, 4));[/asy]
$\textbf{(A) }8\qquad\textbf{(B) }9\qquad\textbf{(C) }12\qquad\textbf{(D) }24\qquad\textbf{(E) }36$
2024 AMC 8 -, 11
The coordinates of $\triangle ABC$ are $A(5, 7)$, $B(11, 7)$, $C(3, y)$, with $y > 7$. The area of $\triangle ABC$ is $12$. What is the value of $y$?
[asy]
size(10cm);
draw((5,7)--(11,7)--(3,11)--cycle);
label("$A(5,7)$", (5,7),S);
label("$B(11,7)$", (11,7),S);
label("$C(3,y)$", (3,11),W);
[/asy]
$\textbf{(A) } 8\qquad\textbf{(B) } 9\qquad\textbf{(C) } 10\qquad\textbf{(D) } 11\qquad\textbf{(E) } 12$
2015 AMC 8, 4
The Centerville Middle School chess team consists of two boys and three girls. A photographer wants to take a picture of the team to appear in the local newspaper. She decides to have them sit in a row with a boy at each end and the three girls in the middle. How many such arrangements are possible?
$\textbf{(A) }2\qquad\textbf{(B) }4\qquad\textbf{(C) }5\qquad\textbf{(D) }6\qquad \textbf{(E) }12$
2002 AMC 8, 23
A portion of a corner of a tiled floor is shown. If the entire floor is tiled in this way and each of the four corners looks like this one, then what fraction of the tiled floor is made of darker tiles?
[asy]/* AMC8 2002 #23 Problem */
fill((0,2)--(1,3)--(2,3)--(2,4)--(3,5)--(4,4)--(4,3)--(5,3)--(6,2)--(5,1)--(4,1)--(4,0)--(2,0)--(2,1)--(1,1)--cycle, mediumgrey);
fill((7,1)--(6,2)--(7,3)--(8,3)--(8,4)--(9,5)--(10,4)--(7,0)--cycle, mediumgrey);
fill((3,5)--(2,6)--(2,7)--(1,7)--(0,8)--(1,9)--(2,9)--(2,10)--(3,11)--(4,10)--(4,9)--(5,9)--(6,8)--(5,7)--(4,7)--(4,6)--cycle, mediumgrey);
fill((6,8)--(7,9)--(8,9)--(8,10)--(9,11)--(10,10)--(10,9)--(11,9)--(11,7)--(10,7)--(10,6)--(9,5)--(8,6)--(8,7)--(7,7)--cycle, mediumgrey);
draw((0,0)--(0,11)--(11,11));
for ( int x = 1; x < 11; ++x )
{
draw((x,11)--(x,0), linetype("4 4"));
}
for ( int y = 1; y < 11; ++y )
{
draw((0,y)--(11,y), linetype("4 4"));
}
clip((0,0)--(0,11)--(11,11)--(11,5)--(4,1)--cycle);[/asy]
$ \textbf{(A)}\ \frac13\qquad\textbf{(B)}\ \frac49\qquad\textbf{(C)}\ \frac12\qquad\textbf{(D)}\ \frac59\qquad\textbf{(E)}\ \frac58$
2017 AMC 8, 2
Alicia, Brenda, and Colby were the candidates in a recent election for student president. The pie chart below shows how the votes were distributed among the three candidates. If Brenda received 36 votes, then how many votes were cast all together?
[asy]
draw((-1,0)--(0,0)--(0,1));
draw((0,0)--(0.309, -0.951));
filldraw(arc((0,0), (0,1), (-1,0))--(0,0)--cycle, lightgray);
filldraw(arc((0,0), (0.309, -0.951), (0,1))--(0,0)--cycle, gray);
draw(arc((0,0), (-1,0), (0.309, -0.951)));
label("Colby", (-0.5, 0.5));
label("25\%", (-0.5, 0.3));
label("Alicia", (0.7, 0.2));
label("45\%", (0.7, 0));
label("Brenda", (-0.5, -0.4));
label("30\%", (-0.5, -0.6));[/asy]
$\textbf{(A) }70\qquad\textbf{(B) }84\qquad\textbf{(C) }100\qquad\textbf{(D) }106\qquad\textbf{(E) }120$
2020 AMC 8 -, 17
How many factors of $2020$ have more than $3$ factors? (As an example, $12$ has $6$ factors, namely $1$, $2$, $3$, $4$, $6$, and $12$.)
$\textbf{(A)}\ 6 \qquad \textbf{(B)}\ 7 \qquad \textbf{(C)}\ 8 \qquad \textbf{(D)}\ 9 \qquad \textbf{(E)}\ 10$
2022 AMC 8 -, 7
When the World Wide Web first became popular in the $1990$s, download speeds reached a maximum of about $56$ kilobits per second. Approximately how many minutes would the download of a $4.2$-megabyte song have taken at that speed? (Note that there are $8000$ kilobits in a megabyte.)
$\textbf{(A)} ~0.6\qquad\textbf{(B)} ~10\qquad\textbf{(C)} ~1800\qquad\textbf{(D)} ~7200\qquad\textbf{(E)} ~36000\qquad$
2023 AMC 8, 23
Each square in a $3 \times 3$ grid is randomly filled with one of the $4$ gray-and-white tiles shown below on the right.[asy]
size(5.663333333cm);
draw((0,0)--(3,0)--(3,3)--(0,3)--cycle,gray);
draw((1,0)--(1,3)--(2,3)--(2,0),gray);
draw((0,1)--(3,1)--(3,2)--(0,2),gray);
fill((6,.33)--(7,.33)--(7,1.33)--cycle,mediumgray);
draw((6,.33)--(7,.33)--(7,1.33)--(6,1.33)--cycle,gray);
fill((6,1.67)--(7,2.67)--(6,2.67)--cycle,mediumgray);
draw((6,1.67)--(7,1.67)--(7,2.67)--(6,2.67)--cycle,gray);
fill((7.33,.33)--(8.33,.33)--(7.33,1.33)--cycle,mediumgray);
draw((7.33,.33)--(8.33,.33)--(8.33,1.33)--(7.33,1.33)--cycle,gray);
fill((8.33,1.67)--(8.33,2.67)--(7.33,2.67)--cycle,mediumgray);
draw((7.33,1.67)--(8.33,1.67)--(8.33,2.67)--(7.33,2.67)--cycle,gray);
[/asy]
What is the probability that the tiling will contain a large gray diamond in one of the smaller $2\times 2$ grids? Below is an example of one such tiling.
[asy]
size(2cm);
fill((1,0)--(0,1)--(0,2)--(1,1)--cycle,mediumgray);
fill((2,0)--(3,1)--(2,2)--(1,1)--cycle,mediumgray);
fill((1,2)--(1,3)--(0,3)--cycle,mediumgray);
fill((1,2)--(2,2)--(2,3)--cycle,mediumgray);
fill((3,2)--(3,3)--(2,3)--cycle,mediumgray);
draw((0,0)--(3,0)--(3,3)--(0,3)--cycle,gray);
draw((1,0)--(1,3)--(2,3)--(2,0),gray);
draw((0,1)--(3,1)--(3,2)--(0,2),gray);
[/asy]
$\textbf{(A) } \frac{1}{1024} \qquad \textbf{(B) } \frac{1}{256} \qquad \textbf{(C) } \frac{1}{64} \qquad \textbf{(D) } \frac{1}{16} \qquad \textbf{(E) } \frac{1}{4}$
2023 AMC 8, 2
A square piece of paper is folded twice into four equal quarters, as shown below, then cut along the dashed line. When unfolded, the paper will match which of the following figures?
[asy]
//kante314
size(11cm);
filldraw((0,0)--(29,0)--(29,29)--(0,29)--cycle,mediumgray);
draw((36,29/2)--(54,29/2),EndArrow(size=7));
draw((36,29/2)--(52.5,29/2),linewidth(1.5));
filldraw((61,22)--(63,22)--(63,6)--cycle,mediumgray);
fill((63,6+1*17/16)--(80,6+1*17/16)--(80,6+2*17/16)--(63,6+2*17/16)--cycle,lightgray);
fill((63,6+3*17/16)--(80,6+3*17/16)--(80,6+4*17/16)--(63,6+4*17/16)--cycle,lightgray);
fill((63,6+5*17/16)--(80,6+5*17/16)--(80,6+6*17/16)--(63,6+6*17/16)--cycle,lightgray);
fill((63,6+7*17/16)--(80,6+7*17/16)--(80,6+8*17/16)--(63,6+8*17/16)--cycle,lightgray);
fill((63,6+9*17/16)--(80,6+9*17/16)--(80,6+10*17/16)--(63,6+10*17/16)--cycle,lightgray);
fill((63,6+11*17/16)--(80,6+11*17/16)--(80,6+12*17/16)--(63,6+12*17/16)--cycle,lightgray);
fill((63,6+13*17/16)--(80,6+13*17/16)--(80,6+14*17/16)--(63,6+14*17/16)--cycle,lightgray);
fill((63,6+15*17/16)--(80,6+15*17/16)--(80,6+16*17/16)--(63,6+16*17/16)--cycle,lightgray);
draw((63,6)--(63,23)--(68,23)--(69,12)--(80,6)--cycle);
filldraw((69,12)--(69,27)--(67,28)--cycle,mediumgray);
filldraw((69,12)--(69,29)--(80,23)--(80,6)--cycle,white);
fill((69,12+1*15/13)--(80,6+1*15/13)--(80,6+2*15/13)--(69,12+2*15/13)--cycle,lightgray);
fill((69,12+3*15/13)--(80,6+3*15/13)--(80,6+4*15/13)--(69,12+4*15/13)--cycle,lightgray);
fill((69,12+5*15/13)--(80,6+5*15/13)--(80,6+6*15/13)--(69,12+6*15/13)--cycle,lightgray);
fill((69,12+7*15/13)--(80,6+7*15/13)--(80,6+8*15/13)--(69,12+8*15/13)--cycle,lightgray);
fill((69,12+9*15/13)--(80,6+9*15/13)--(80,6+10*15/13)--(69,12+10*15/13)--cycle,lightgray);
fill((69,12+11*15/13)--(80,6+11*15/13)--(80,6+12*15/13)--(69,12+12*15/13)--cycle,lightgray);
fill((69,12+13*15/13)--(80,6+13*15/13)--(80,6+14*15/13)--(69,12+14*15/13)--cycle,lightgray);
draw((69,12)--(69,29)--(80,23)--(80,6)--cycle);
draw((87,29/2)--(105,29/2),EndArrow(size=7));
draw((87,29/2)--(102.5,29/2),linewidth(1.5));
fill((112,6+1*17/16)--(129,6+1*17/16)--(129,6+2*17/16)--(112,6+2*17/16)--cycle,lightgray);
fill((112,6+3*17/16)--(129,6+3*17/16)--(129,6+4*17/16)--(112,6+4*17/16)--cycle,lightgray);
fill((112,6+5*17/16)--(129,6+5*17/16)--(129,6+6*17/16)--(112,6+6*17/16)--cycle,lightgray);
fill((112,6+7*17/16)--(129,6+7*17/16)--(129,6+8*17/16)--(112,6+8*17/16)--cycle,lightgray);
fill((112,6+9*17/16)--(129,6+9*17/16)--(129,6+10*17/16)--(112,6+10*17/16)--cycle,lightgray);
fill((112,6+11*17/16)--(129,6+11*17/16)--(129,6+12*17/16)--(112,6+12*17/16)--cycle,lightgray);
fill((112,6+13*17/16)--(129,6+13*17/16)--(129,6+14*17/16)--(112,6+14*17/16)--cycle,lightgray);
fill((112,6+15*17/16)--(129,6+15*17/16)--(129,6+16*17/16)--(112,6+16*17/16)--cycle,lightgray);
draw((112,6)--(129,6)--(129,23)--(112,23)--cycle);
draw((112+17/2,6)--(129,6+17/2),dashed+linewidth(.3));
draw((111.7,6.7)--(111.7,23.3)--(128.3,23.3),linewidth(1));
draw((111.75,6.6)--(111.75,6.3));
draw((128.4,23.25)--(128.7,23.25));
[/asy]
[asy]
//kante314
size(11cm);
label(scale(.85)*"\textbf{(A)}", (2,55));
filldraw((7,31)--(13,31)--(19.5,37)--(26,31)--(32,31)--(32,37)--(26,43.5)--(32,50)--(32,56)--(26,56)--(19.5,50)--(13,56)--(7,56)--(7,50)--(13,43.5)--(7,37)--cycle,mediumgray);
label(scale(.85)*"\textbf{(B)}", (44,55));
filldraw((49,31)--(55,31)--(61.5,37)--(68,31)--(74,31)--(74,37)--(74,50)--(74,56)--(68,56)--(61.5,50)--(55,56)--(49,56)--(49,50)--(49,37)--cycle,mediumgray);
label(scale(.85)*"\textbf{(C)}", (86,55));
filldraw((91,31)--(116,31)--(116,56)--(91,56)--cycle,mediumgray);
filldraw((91+25/4,31+25/4)--(116-25/4,31+25/4)--(116-25/4,56-25/4)--(91+25/4,56-25/4)--cycle,white);
label(scale(.85)*"\textbf{(D)}", (2,24));
filldraw((7,0)--(32,0)--(32,25)--(7,25)--cycle,mediumgray);
filldraw((7+25/4,25/2)--(32-25/4,25/2)--(7+25/2,25-25/4)--cycle,white);
label(scale(.85)*"\textbf{(E)}", (44,24));
filldraw((49,0)--(74,0)--(74,25)--(49,25)--cycle,mediumgray);
filldraw((49+25/4,25/2)--(49+25/2,25/4)--(74-25/4,25/2)--(49+25/2,25-25/4)--cycle,white);
[/asy]
2016 AMC 8, 17
An ATM password at Fred's Bank is composed of four digits from $0$ to $9$, with repeated digits allowable. If no password may begin with the sequence $9,1,1,$ then how many passwords are possible?
$\textbf{(A)}\mbox{ }30\qquad\textbf{(B)}\mbox{ }7290\qquad\textbf{(C)}\mbox{ }9000\qquad\textbf{(D)}\mbox{ }9990\qquad\textbf{(E)}\mbox{ }9999$
2018 AMC 8, 14
Let $N$ be the greatest five-digit number whose digits have a product of $120$. What is the sum of the digits of $N$?
$\textbf{(A) }15\qquad\textbf{(B) }16\qquad\textbf{(C) }17\qquad\textbf{(D) }18\qquad\textbf{(E) }20$
2025 AMC 8, 10
In the figure below, $ABCD$ is a rectangle with sides of length $AB = 5$ inches and $AD = 3$ inches. Rectangle $ABCD$ is rotated $90^{\circ}$ clockwise about the midpoint of side $\overline{DC}$ to give a second rectangle. What is the total area, in square inches, covered by the two overlapping rectangles?
[img]https://i.imgur.com/NyhZpL6.png[/img]
$\textbf{(A) }21 \qquad\textbf{(B) }22.25 \qquad\textbf{(C) }23\qquad\textbf{(D) }23.75 \qquad\textbf{(E) }25$
2016 AMC 8, 25
A semicircle is inscribed in an isosceles triangle with base $16$ and height $15$ so that the diameter of the semicircle is contained in the base of the triangle as shown. What is the radius of the semicircle?
[asy]
unitsize(0.25cm);
pair A, B, C, O;
A = (-8, 0);
B = (8, 0);
C = (0, 15);
O = (0, 0);
draw(arc(O, 120/17, 0, 180));
draw(A--B--C--cycle);
[/asy]
$\textbf{(A) }4 \sqrt{3}\qquad\textbf{(B) } \dfrac{120}{17}\qquad\textbf{(C) }10\qquad\textbf{(D) }\dfrac{17\sqrt{2}}{2}\qquad \textbf{(E) }\dfrac{17\sqrt{3}}{2}$
2023 AMC 8, 11
NASA’s Perseverance Rover was launched on July $30,$ $2020.$ After traveling $292{,}526{,}838$ miles, it landed on Mars in Jezero Crater about $6.5$ months later. Which of the following is closest to the Rover’s average interplanetary speed in miles per hour?
$\textbf{(A) } 6{,}000 \qquad \textbf{(B) } 12{,}000 \qquad \textbf{(C) } 60{,}000 \qquad \textbf{(D) } 120{,}000 \qquad \textbf{(E) } 600{,}000$
2017 AMC 8, 24
Mrs. Sanders has three grandchildren, who call her regularly. One calls her every three days, one calls her every four days, and one calls her every five days. All three called her on December 31, 2016. On how many days during the next year did she not receive a phone call from any of her grandchildren?
$\textbf{(A) }78\qquad\textbf{(B) }80\qquad\textbf{(C) }144\qquad\textbf{(D) }146\qquad\textbf{(E) }152$
2018 AMC 8, 11
Abby, Bridget, and four of their classmates will be seated in two rows of three for a group picture, as shown.
\begin{eqnarray*}
\text{X}&\quad\text{X}\quad&\text{X} \\
\text{X}&\quad\text{X}\quad&\text{X}
\end{eqnarray*}
If the seating positions are assigned randomly, what is the probability that Abby and Bridget are adjacent to each other in the same row or the same column?
$\textbf{(A) } \frac{1}{3} \qquad \textbf{(B) } \frac{2}{5} \qquad \textbf{(C) } \frac{7}{15} \qquad \textbf{(D) } \frac{1}{2} \qquad \textbf{(E) } \frac{2}{3}$
2024 AMC 8 -, 14
The one-way routes connecting towns $A$, $M$, $C$, $X$, $Y$, and $Z$ are shown in the figure below (not drawn to scale).The distances in kilometers along each route are marked. Traveling along these routes, what is the shortest distance from A to Z in kilometers?
[asy]
/* AMC8 P14 2024, by NUMANA: BUI VAN HIEU */
import graph;
unitsize(2cm);
real r=0.25;
// Define the nodes and their positions
pair[] nodes = { (0,0), (2,0), (1,1), (3,1), (4,0), (6,0) };
string[] labels = { "A", "M", "X", "Y", "C", "Z" };
// Draw the nodes as circles with labels
for(int i = 0; i < nodes.length; ++i) {
draw(circle(nodes[i], r));
label("$" + labels[i] + "$", nodes[i]);
}
// Define the edges with their node indices and labels
int[][] edges = { {0, 1}, {0, 2}, {2, 1}, {2, 3}, {1, 3}, {1, 4}, {3, 4}, {4, 5}, {3, 5} };
string[] edgeLabels = { "8", "5", "2", "10", "6", "14", "5", "10", "17" };
pair[] edgeLabelsPos = { S, SE, SW, S, SE, S, SW, S, NE};
// Draw the edges with labels
for (int i = 0; i < edges.length; ++i) {
pair start = nodes[edges[i][0]];
pair end = nodes[edges[i][1]];
draw(start + r*dir(end-start) -- end-r*dir(end-start), Arrow);
label("$" + edgeLabels[i] + "$", midpoint(start -- end), edgeLabelsPos[i]);
}
// Draw the curved edge with label
draw(nodes[1]+r * dir(-45)..controls (3, -0.75) and (5, -0.75)..nodes[5]+r * dir(-135), Arrow);
label("$25$", midpoint(nodes[1]..controls (3, -0.75) and (5, -0.75)..nodes[5]), 2S);
[/asy]
$\textbf{(A)}\ 28 \qquad \textbf{(B)}\ 29 \qquad \textbf{(C)}\ 30 \qquad \textbf{(D)}\ 31 \qquad \textbf{(E)}\ 32$
2018 AMC 8, 24
In the cube $ABCDEFGH$ with opposite vertices $C$ and $E,$ $J$ and $I$ are the midpoints of edges $\overline{FB}$ and $\overline{HD},$ respectively. Let $R$ be the ratio of the area of the cross-section $EJCI$ to the area of one of the faces of the cube. What is $R^2?$
[asy]
size(6cm);
pair A,B,C,D,EE,F,G,H,I,J;
C = (0,0);
B = (-1,1);
D = (2,0.5);
A = B+D;
G = (0,2);
F = B+G;
H = G+D;
EE = G+B+D;
I = (D+H)/2; J = (B+F)/2;
filldraw(C--I--EE--J--cycle,lightgray,black);
draw(C--D--H--EE--F--B--cycle);
draw(G--F--G--C--G--H);
draw(A--B,dashed); draw(A--EE,dashed); draw(A--D,dashed);
dot(A); dot(B); dot(C); dot(D); dot(EE); dot(F); dot(G); dot(H); dot(I); dot(J);
label("$A$",A,E);
label("$B$",B,W);
label("$C$",C,S);
label("$D$",D,E);
label("$E$",EE,N);
label("$F$",F,W);
label("$G$",G,N);
label("$H$",H,E);
label("$I$",I,E);
label("$J$",J,W);
[/asy]
$\textbf{(A) } \frac{5}{4} \qquad \textbf{(B) } \frac{4}{3} \qquad \textbf{(C) } \frac{3}{2} \qquad \textbf{(D) } \frac{25}{16} \qquad \textbf{(E) } \frac{9}{4}$
2016 AMC 8, 15
What is the largest power of 2 that is a divisor of $13^4-11^4$?
$\textbf{(A) } 8\qquad\textbf{(B) } 16\qquad\textbf{(C) } 32\qquad\textbf{(D) } 64\qquad \textbf{(E) } 128$
2023 AMC 8, 3
[i]Wind chill[/i] is a measure of how cold people feel when exposed to wind outside. A good estimate for wind chill can be found using this calculation: $$(\text{wind chill}) = (\text{air temperature}) - 0.7 \times (\text{wind speed}),$$ where temperature is measured in degrees Fahrenheit $(^{\circ}\text{F})$ and and the wind speed is measured in miles per hour (mph). Suppose the air temperature is $36^{\circ}\text{F} $ and the wind speed is $18$ mph. Which of the following is closest to the approximate wind chill?
$\textbf{(A)}~18\qquad\textbf{(B)}~23\qquad\textbf{(C)}~28\qquad\textbf{(D)}~32\qquad\textbf{(E)}~35$