2. At Store
T
, the dollar amount of sales for 2007 was what percent of the dollar
amount of sales
for 2008?
Give your answer to the nearest 0.1
%
.
%
Explanation
If
A
is the dollar amount of sales at Store
T
for 2007, then 8
%
of
A
, or
is the
amount
of decrease from 2007 to 2008. Thus
is the dollar amount for 2008.
Therefore, the desired percent can be obtained by dividing
A
by
which
equals
Expressed as a percent and rounded to the nearest 0.1
%
this number is 108.7%.
Thus the correct answer is 108.7% (or equivalent)
.
3.
Based on the information given, which of the following statements must be true?
Indicate all such statements.
A.
For 2008 the dollar amount
of sales at Store
R
was greater than that at each of the other
four stores.
B.
The dollar amount of sales at Store
S
for 2008 was 22
%
less than that for 2006.
C.
The dollar amount of sales at Store
R
for 2008 was more than 17
%
greater than
that for
2006.
Explanation
For
Choice A, since the only data given in Figure 8 are percent changes from year to year, there
is no way to compare the actual dollar amount of sales at the stores for 2008 or for any other
year. Even though Store
R
had the greatest percent increase from 2006 to 2008, its actual dollar
amount of sales for 2008 may have been much smaller than that for any of the other four
stores, and therefore Choice A is not necessarily true.
For
Choice B, even though the sum of the
2%
decreases would suggest a 22
%
decrease, the bases
of the percents are different. If
B
is the dollar amount of sales at Store
S
for
2006,
then the dollar
amount for 2007 is 93
%
of
B
, or
and the dollar amount for 2008 is given by
which is
Note that this represents a percent decrease of
equal to 22
%
, and so Choice B is not true.
For Choice C, if
C
is the dollar
amount of sales at Store
R
for 2006, then the dollar amount for
2007 is given by
and the dollar amount for 2008 is given by
which
is
Note that this represents a 17.6
%
increase, which is greater than 17
%
,
so Choice C
must be true.
35
%
, which is not
