Overton, Mays – Oldquiz 5 – Due: May 10 2005, 9:00 am – Inst: Turner
1
This
printout
should
have
35
questions.
Multiplechoice questions may continue on
the next column or page – find all choices
before answering.
The due time is Central
time.
001
(part 1 of 1) 10 points
Needing help, the secretary of the United
States Department of Agriculture asked your
teacher, “If a chickenandahalf can lay an
eggandahalf in a dayandahalf, how many
days will it take two chickens to lay eight
eggs?”
Please help your teacher select the correct
answer to the secretary’s question.
1.
Two chickens will lay eight eggs in twenty
one days.
2.
Two chickens will lay eight eggs in four
teen days.
3.
Two chickens will lay eight eggs in twenty
four days.
4.
Two chickens will lay eight eggs in sixteen
days.
5.
Two chickens will lay eight eggs in twenty
two days.
6.
Two chickens will lay eight eggs in eigh
teen days.
7.
Two chickens will lay eight eggs in ten
days.
8.
Two chickens will lay eight eggs in twelve
days.
9.
Two chickens will lay eight eggs in six
days.
correct
10.
Two chickens will lay eight eggs in fifteen
days.
Explanation:
Basic Concept:
The information given
in the question is the rate of egg production
in one instance and you must make this rate
compatible with another instance.
The rate
of egg production is constant. The number of
eggs per chicken per day is a constant.
Solution:
Since it takes a chickenandahalf
a dayandahalf to lay an eggandahalf, it
will take one chicken oneandahalf days to
lay one egg.
Therefore, to lay eight eggs it
will take two chickens six days.
Alternative Method:
Unit analysis is
basic to every physics problem and is central
to this problem. The rate of egg production is
the number of eggs produced per chicken per
day. In the given instance the rate is
rate =
{
3
/
2 eggs
}
{
3
/
2 chickens
} {
3
/
2 days
}
=
2
3
eggs
chickens
·
days
.
(1)
In the requested instance,
the number of
chickens is (2 chickens) and the number of
eggs is (8 eggs).
The number of days
N
is
to be determined. Therefore in the requested
instance, the rate is
rate =
{
8 eggs
}
{
2 chickens
} {N}
.
(2)
The rate is constant, so equating the rates
Eqs. (1) and (2), we have
2 eggs
3 chicken
·
days
=
8 eggs
2 chickens
· N
Solving for the number of days
N
, we have
N
=
8 eggs
2 chickens
3 chickens
·
days
2 eggs
= 6 days
.
The correct answer:
“Two chickens will lay
eight eggs in six days.”
Note:
The early chicken catches the worm.
002
(part 1 of 1) 10 points
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Overton, Mays – Oldquiz 5 – Due: May 10 2005, 9:00 am – Inst: Turner
2
A graph of a straight line going through two
points is shown below.
y

5

3

1 0
1
2
3
4
5
x

5

4

3

2

1
0
1
2
3
4
5
What is the equation
y
=
f
(
x
) of this line?
1.
y
=

6
7
x
+
8
3
2.
y
= +
6
7
x
+
8
3
3.
y
=

7
6
x
+
16
7
4.
y
= +
7
6
x

16
7
5.
y
= +
6
7
x
+
16
7
6.
y
= +
6
7
x

16
7
correct
7.
y
= +
6
7
x

8
3
8.
y
= +
7
6
x

8
3
9.
y
=

7
6
x

16
7
10.
y
=

6
7
x

16
7
Explanation:
Solution:
Let
(
x
1
, y
1
) = (

2
,

4)
(
x
2
, y
2
) = (5
,
2)
.
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 Spring '08
 Turner
 Physics, Acceleration, Mass, Velocity, Correct Answer, Standing wave, Overton

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