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MATH / A birdbath is designed to overflow so that it will be self-cleaning. Water flows…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

A birdbath is designed to overflow so that it will be self-cleaning. Water flows in at the rate of 20 milliliters per minute and drains at the rate of 18 milliliters per minute. One of these graphs shows the volume of water in the birdbath during the filling time and continuing into the overflow time. Which one is it? [asy] /* AMC8 2002 #6 Problem */ size(3inch,0.75inch); for ( int x = 0; x <= 4; ++x ) { draw((x*1.5,1)--(x*1.5,0)--(x*1.5+1,0)); label(rotate(90)*scale(0.7)*"Volume", (x*1.5-.2,.5)); } label("AA", (.5,0), S); label("BB", (2,0), S); label("CC", (3.5,0), S); label("DD", (5,0), S); label("EE", (6.5,0), S); draw((0,0)--(.5,.5)--(1,.5),linewidth(1)); draw((1.5,0.6)--(1.8,0.6)--(2.5,0), linewidth(1)); draw((3,0)--(4,.75), linewidth(1)); draw((4.5,.8)--(5.5,.8), linewidth(1)); draw((6,0)--(6.5,.5)--(7,0), linewidth(1)); [/asy] Provide the correct letter (A, B, C, D, or E) answer.
Plain-text mathematical notation (without MathML)
A birdbath is designed to overflow so that it will be self-cleaning.  Water flows in at the rate of 20 milliliters per minute and drains at the rate of 18 milliliters per minute.  One of these graphs shows the volume of water in the birdbath during the filling time and continuing into the overflow time.  Which one is it?

[asy]
/* AMC8 2002 #6 Problem */
size(3inch,0.75inch);
for ( int x = 0; x <= 4; ++x )
{

draw((x*1.5,1)--(x*1.5,0)--(x*1.5+1,0));

label(rotate(90)*scale(0.7)*"Volume", (x*1.5-.2,.5));
}
label("A", (.5,0), S);
label("B", (2,0), S);
label("C", (3.5,0), S);
label("D", (5,0), S);
label("E", (6.5,0), S);
draw((0,0)--(.5,.5)--(1,.5),linewidth(1));
draw((1.5,0.6)--(1.8,0.6)--(2.5,0), linewidth(1));
draw((3,0)--(4,.75), linewidth(1));
draw((4.5,.8)--(5.5,.8), linewidth(1));
draw((6,0)--(6.5,.5)--(7,0), linewidth(1));
[/asy]

Provide the correct letter (A, B, C, D, or E) answer.
Original LaTeX notation
A birdbath is designed to overflow so that it will be self-cleaning.  Water flows in at the rate of 20 milliliters per minute and drains at the rate of 18 milliliters per minute.  One of these graphs shows the volume of water in the birdbath during the filling time and continuing into the overflow time.  Which one is it?

[asy]
/* AMC8 2002 #6 Problem */
size(3inch,0.75inch);
for ( int x = 0; x <= 4; ++x )
{

draw((x*1.5,1)--(x*1.5,0)--(x*1.5+1,0));

label(rotate(90)*scale(0.7)*"Volume", (x*1.5-.2,.5));
}
label("$A$", (.5,0), S);
label("$B$", (2,0), S);
label("$C$", (3.5,0), S);
label("$D$", (5,0), S);
label("$E$", (6.5,0), S);
draw((0,0)--(.5,.5)--(1,.5),linewidth(1));
draw((1.5,0.6)--(1.8,0.6)--(2.5,0), linewidth(1));
draw((3,0)--(4,.75), linewidth(1));
draw((4.5,.8)--(5.5,.8), linewidth(1));
draw((6,0)--(6.5,.5)--(7,0), linewidth(1));
[/asy]

Provide the correct letter (A, B, C, D, or E) answer.

level

Level 5

type

Prealgebra

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Source and history

task_id
96a389fb-64b7-57ba-a657-98939f40506f
task_key
prealgebra--test--96a389fb-64b7-57ba-a657-98939f40506f
task_revision_id
1
config / split
prealgebra / test

Official source

initial import